Solve 31.39+10%+4.5+4.4+.0625+5.25=

$$31.39+10 \% +4.5+4.4+.0625+5.25=$$

Evaluate

$$45.7025$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$31.39+\frac{1}{10}+4.5+4.4+0.0625+5.25$$

Convert decimal number 31.39 to fraction \frac{3139}{100}.

$$\frac{3139}{100}+\frac{1}{10}+4.5+4.4+0.0625+5.25$$

Least common multiple of 100 and 10 is 100. Convert \frac{3139}{100} and \frac{1}{10} to fractions with denominator 100.

$$\frac{3139}{100}+\frac{10}{100}+4.5+4.4+0.0625+5.25$$

Since \frac{3139}{100} and \frac{10}{100} have the same denominator, add them by adding their numerators.

$$\frac{3139+10}{100}+4.5+4.4+0.0625+5.25$$

Add 3139 and 10 to get 3149.

$$\frac{3149}{100}+4.5+4.4+0.0625+5.25$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3149}{100}+\frac{9}{2}+4.4+0.0625+5.25$$

Least common multiple of 100 and 2 is 100. Convert \frac{3149}{100} and \frac{9}{2} to fractions with denominator 100.

$$\frac{3149}{100}+\frac{450}{100}+4.4+0.0625+5.25$$

Since \frac{3149}{100} and \frac{450}{100} have the same denominator, add them by adding their numerators.

$$\frac{3149+450}{100}+4.4+0.0625+5.25$$

Add 3149 and 450 to get 3599.

$$\frac{3599}{100}+4.4+0.0625+5.25$$

Convert decimal number 4.4 to fraction \frac{44}{10}. Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3599}{100}+\frac{22}{5}+0.0625+5.25$$

Least common multiple of 100 and 5 is 100. Convert \frac{3599}{100} and \frac{22}{5} to fractions with denominator 100.

$$\frac{3599}{100}+\frac{440}{100}+0.0625+5.25$$

Since \frac{3599}{100} and \frac{440}{100} have the same denominator, add them by adding their numerators.

$$\frac{3599+440}{100}+0.0625+5.25$$

Add 3599 and 440 to get 4039.

$$\frac{4039}{100}+0.0625+5.25$$

Convert decimal number 0.0625 to fraction \frac{625}{10000}. Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{4039}{100}+\frac{1}{16}+5.25$$

Least common multiple of 100 and 16 is 400. Convert \frac{4039}{100} and \frac{1}{16} to fractions with denominator 400.

$$\frac{16156}{400}+\frac{25}{400}+5.25$$

Since \frac{16156}{400} and \frac{25}{400} have the same denominator, add them by adding their numerators.

$$\frac{16156+25}{400}+5.25$$

Add 16156 and 25 to get 16181.

$$\frac{16181}{400}+5.25$$

Convert decimal number 5.25 to fraction \frac{525}{100}. Reduce the fraction \frac{525}{100} to lowest terms by extracting and canceling out 25.

$$\frac{16181}{400}+\frac{21}{4}$$

Least common multiple of 400 and 4 is 400. Convert \frac{16181}{400} and \frac{21}{4} to fractions with denominator 400.

$$\frac{16181}{400}+\frac{2100}{400}$$

Since \frac{16181}{400} and \frac{2100}{400} have the same denominator, add them by adding their numerators.

$$\frac{16181+2100}{400}$$

Add 16181 and 2100 to get 18281.

$$\frac{18281}{400}$$

Factor

$$\frac{101 \cdot 181}{2 ^ {4} \cdot 5 ^ {2}} = 45\frac{281}{400} = 45.7025$$