Solve 1.15/12500+0.73/20500+0.415/24000+0.35/32000+frac{0.51}{39000}+frac{0.34}{45000}+frac{1.78}{63500}+frac{0.1}{41000}+frac{0.94}{94000}

$$\frac{ 1.15 }{ 12500 } + \frac{ 0.73 }{ 20500 } + \frac{ 0.415 }{ 24000 } + \frac{ 0.35 }{ 32000 } + \frac{ 0.51 }{ 39000 } + \frac{ 0.34 }{ 45000 } + \frac{ 1.78 }{ 63500 } + \frac{ 0.1 }{ 41000 } + \frac{ 0.94 }{ 94000 }$$

Evaluate

$$\frac{2114642251}{9747504000000}\approx 0.000216942$$

Solution Steps

Expand \frac{1.15}{12500} by multiplying both numerator and the denominator by 100.

$$\frac{115}{1250000}+\frac{0.73}{20500}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{115}{1250000} to lowest terms by extracting and canceling out 5.

$$\frac{23}{250000}+\frac{0.73}{20500}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.73}{20500} by multiplying both numerator and the denominator by 100.

$$\frac{23}{250000}+\frac{73}{2050000}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 250000 and 2050000 is 10250000. Convert \frac{23}{250000} and \frac{73}{2050000} to fractions with denominator 10250000.

$$\frac{943}{10250000}+\frac{365}{10250000}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{943}{10250000} and \frac{365}{10250000} have the same denominator, add them by adding their numerators.

$$\frac{943+365}{10250000}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 943 and 365 to get 1308.

$$\frac{1308}{10250000}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{1308}{10250000} to lowest terms by extracting and canceling out 4.

$$\frac{327}{2562500}+\frac{0.415}{24000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.415}{24000} by multiplying both numerator and the denominator by 1000.

$$\frac{327}{2562500}+\frac{415}{24000000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{415}{24000000} to lowest terms by extracting and canceling out 5.

$$\frac{327}{2562500}+\frac{83}{4800000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 2562500 and 4800000 is 984000000. Convert \frac{327}{2562500} and \frac{83}{4800000} to fractions with denominator 984000000.

$$\frac{125568}{984000000}+\frac{17015}{984000000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{125568}{984000000} and \frac{17015}{984000000} have the same denominator, add them by adding their numerators.

$$\frac{125568+17015}{984000000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 125568 and 17015 to get 142583.

$$\frac{142583}{984000000}+\frac{0.35}{32000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.35}{32000} by multiplying both numerator and the denominator by 100.

$$\frac{142583}{984000000}+\frac{35}{3200000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{35}{3200000} to lowest terms by extracting and canceling out 5.

$$\frac{142583}{984000000}+\frac{7}{640000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 984000000 and 640000 is 1968000000. Convert \frac{142583}{984000000} and \frac{7}{640000} to fractions with denominator 1968000000.

$$\frac{285166}{1968000000}+\frac{21525}{1968000000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{285166}{1968000000} and \frac{21525}{1968000000} have the same denominator, add them by adding their numerators.

$$\frac{285166+21525}{1968000000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 285166 and 21525 to get 306691.

$$\frac{306691}{1968000000}+\frac{0.51}{39000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.51}{39000} by multiplying both numerator and the denominator by 100.

$$\frac{306691}{1968000000}+\frac{51}{3900000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{51}{3900000} to lowest terms by extracting and canceling out 3.

$$\frac{306691}{1968000000}+\frac{17}{1300000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 1968000000 and 1300000 is 25584000000. Convert \frac{306691}{1968000000} and \frac{17}{1300000} to fractions with denominator 25584000000.

$$\frac{3986983}{25584000000}+\frac{334560}{25584000000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{3986983}{25584000000} and \frac{334560}{25584000000} have the same denominator, add them by adding their numerators.

$$\frac{3986983+334560}{25584000000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 3986983 and 334560 to get 4321543.

$$\frac{4321543}{25584000000}+\frac{0.34}{45000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.34}{45000} by multiplying both numerator and the denominator by 100.

$$\frac{4321543}{25584000000}+\frac{34}{4500000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{34}{4500000} to lowest terms by extracting and canceling out 2.

$$\frac{4321543}{25584000000}+\frac{17}{2250000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 25584000000 and 2250000 is 76752000000. Convert \frac{4321543}{25584000000} and \frac{17}{2250000} to fractions with denominator 76752000000.

$$\frac{12964629}{76752000000}+\frac{579904}{76752000000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{12964629}{76752000000} and \frac{579904}{76752000000} have the same denominator, add them by adding their numerators.

$$\frac{12964629+579904}{76752000000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 12964629 and 579904 to get 13544533.

$$\frac{13544533}{76752000000}+\frac{1.78}{63500}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{1.78}{63500} by multiplying both numerator and the denominator by 100.

$$\frac{13544533}{76752000000}+\frac{178}{6350000}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Reduce the fraction \frac{178}{6350000} to lowest terms by extracting and canceling out 2.

$$\frac{13544533}{76752000000}+\frac{89}{3175000}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Least common multiple of 76752000000 and 3175000 is 9747504000000. Convert \frac{13544533}{76752000000} and \frac{89}{3175000} to fractions with denominator 9747504000000.

$$\frac{1720155691}{9747504000000}+\frac{273237120}{9747504000000}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Since \frac{1720155691}{9747504000000} and \frac{273237120}{9747504000000} have the same denominator, add them by adding their numerators.

$$\frac{1720155691+273237120}{9747504000000}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Add 1720155691 and 273237120 to get 1993392811.

$$\frac{1993392811}{9747504000000}+\frac{0.1}{41000}+\frac{0.94}{94000}$$

Expand \frac{0.1}{41000} by multiplying both numerator and the denominator by 10.

$$\frac{1993392811}{9747504000000}+\frac{1}{410000}+\frac{0.94}{94000}$$

Least common multiple of 9747504000000 and 410000 is 9747504000000. Convert \frac{1993392811}{9747504000000} and \frac{1}{410000} to fractions with denominator 9747504000000.

$$\frac{1993392811}{9747504000000}+\frac{23774400}{9747504000000}+\frac{0.94}{94000}$$

Since \frac{1993392811}{9747504000000} and \frac{23774400}{9747504000000} have the same denominator, add them by adding their numerators.

$$\frac{1993392811+23774400}{9747504000000}+\frac{0.94}{94000}$$

Add 1993392811 and 23774400 to get 2017167211.

$$\frac{2017167211}{9747504000000}+\frac{0.94}{94000}$$

Expand \frac{0.94}{94000} by multiplying both numerator and the denominator by 100.

$$\frac{2017167211}{9747504000000}+\frac{94}{9400000}$$

Reduce the fraction \frac{94}{9400000} to lowest terms by extracting and canceling out 94.

$$\frac{2017167211}{9747504000000}+\frac{1}{100000}$$

Least common multiple of 9747504000000 and 100000 is 9747504000000. Convert \frac{2017167211}{9747504000000} and \frac{1}{100000} to fractions with denominator 9747504000000.

$$\frac{2017167211}{9747504000000}+\frac{97475040}{9747504000000}$$

Since \frac{2017167211}{9747504000000} and \frac{97475040}{9747504000000} have the same denominator, add them by adding their numerators.

$$\frac{2017167211+97475040}{9747504000000}$$

Add 2017167211 and 97475040 to get 2114642251.

$$\frac{2114642251}{9747504000000}$$

Factor

$$\frac{2114642251}{13 \cdot 41 \cdot 127 \cdot 2 ^ {10} \cdot 3 ^ {2} \cdot 5 ^ {6}} = 0.0002169419218499423$$