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

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

Verify

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.

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

Compare \frac{136}{7} and \frac{3}{7}.

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