Solve 1/416/90.76*0.70.92/0.8260*1125*1125=

$$\frac{ 1 }{ 4 } \frac{ 16 }{ 9 } 0.76 \cdot 0.7 \frac{ 0.92 }{ 0.82 } 60 \cdot 1125 \times 1125=$$

Evaluate

$$\frac{1916055000}{41}\approx 46733048.780487805$$

Solution Steps

Multiply \frac{1}{4} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{4\times 9}\times 0.76\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{1\times 16}{4\times 9}.

$$\frac{16}{36}\times 0.76\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{16}{36} to lowest terms by extracting and canceling out 4.

$$\frac{4}{9}\times 0.76\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Convert decimal number 0.76 to fraction \frac{76}{100}. Reduce the fraction \frac{76}{100} to lowest terms by extracting and canceling out 4.

$$\frac{4}{9}\times \frac{19}{25}\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Multiply \frac{4}{9} times \frac{19}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 19}{9\times 25}\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{4\times 19}{9\times 25}.

$$\frac{76}{225}\times \frac{0.7\times 0.82+0.92}{0.82}\times 60\times 1125\times 1125$$

Multiply 0.7 and 0.82 to get 0.574.

$$\frac{76}{225}\times \frac{0.574+0.92}{0.82}\times 60\times 1125\times 1125$$

Add 0.574 and 0.92 to get 1.494.

$$\frac{76}{225}\times \frac{1.494}{0.82}\times 60\times 1125\times 1125$$

Expand \frac{1.494}{0.82} by multiplying both numerator and the denominator by 1000.

$$\frac{76}{225}\times \frac{1494}{820}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{1494}{820} to lowest terms by extracting and canceling out 2.

$$\frac{76}{225}\times \frac{747}{410}\times 60\times 1125\times 1125$$

Multiply \frac{76}{225} times \frac{747}{410} by multiplying numerator times numerator and denominator times denominator.

$$\frac{76\times 747}{225\times 410}\times 60\times 1125\times 1125$$

Do the multiplications in the fraction \frac{76\times 747}{225\times 410}.

$$\frac{56772}{92250}\times 60\times 1125\times 1125$$

Reduce the fraction \frac{56772}{92250} to lowest terms by extracting and canceling out 18.

$$\frac{3154}{5125}\times 60\times 1125\times 1125$$

Express \frac{3154}{5125}\times 60 as a single fraction.

$$\frac{3154\times 60}{5125}\times 1125\times 1125$$

Multiply 3154 and 60 to get 189240.

$$\frac{189240}{5125}\times 1125\times 1125$$

Reduce the fraction \frac{189240}{5125} to lowest terms by extracting and canceling out 5.

$$\frac{37848}{1025}\times 1125\times 1125$$

Express \frac{37848}{1025}\times 1125 as a single fraction.

$$\frac{37848\times 1125}{1025}\times 1125$$

Multiply 37848 and 1125 to get 42579000.

$$\frac{42579000}{1025}\times 1125$$

Reduce the fraction \frac{42579000}{1025} to lowest terms by extracting and canceling out 25.

$$\frac{1703160}{41}\times 1125$$

Express \frac{1703160}{41}\times 1125 as a single fraction.

$$\frac{1703160\times 1125}{41}$$

Multiply 1703160 and 1125 to get 1916055000.

$$\frac{1916055000}{41}$$

Factor

$$\frac{19 \cdot 83 \cdot 2 ^ {3} \cdot 3 ^ {5} \cdot 5 ^ {4}}{41} = 46733048\frac{32}{41} = 46733048.780487806$$