Solve 15.64-4/7+4.36-3/7

$$15.64 - \frac { 4 } { 7 } + 4.36 - \frac { 3 } { 7 }$$

Evaluate

$$19$$

Solution Steps

Convert decimal number 15.64 to fraction \frac{1564}{100}. Reduce the fraction \frac{1564}{100} to lowest terms by extracting and canceling out 4.

$$\frac{391}{25}-\frac{4}{7}+4.36-\frac{3}{7}$$

Least common multiple of 25 and 7 is 175. Convert \frac{391}{25} and \frac{4}{7} to fractions with denominator 175.

$$\frac{2737}{175}-\frac{100}{175}+4.36-\frac{3}{7}$$

Since \frac{2737}{175} and \frac{100}{175} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2737-100}{175}+4.36-\frac{3}{7}$$

Subtract 100 from 2737 to get 2637.

$$\frac{2637}{175}+4.36-\frac{3}{7}$$

Convert decimal number 4.36 to fraction \frac{436}{100}. Reduce the fraction \frac{436}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2637}{175}+\frac{109}{25}-\frac{3}{7}$$

Least common multiple of 175 and 25 is 175. Convert \frac{2637}{175} and \frac{109}{25} to fractions with denominator 175.

$$\frac{2637}{175}+\frac{763}{175}-\frac{3}{7}$$

Since \frac{2637}{175} and \frac{763}{175} have the same denominator, add them by adding their numerators.

$$\frac{2637+763}{175}-\frac{3}{7}$$

Add 2637 and 763 to get 3400.

$$\frac{3400}{175}-\frac{3}{7}$$

Reduce the fraction \frac{3400}{175} to lowest terms by extracting and canceling out 25.

$$\frac{136}{7}-\frac{3}{7}$$

Since \frac{136}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-3}{7}$$

Subtract 3 from 136 to get 133.

$$\frac{133}{7}$$

Divide 133 by 7 to get 19.

$$19$$

Factor

$$19$$