Solve 6-5/12*9/10-13/8

$$6 - \frac { 5 } { 12 } \times \frac { 9 } { 10 } - \frac { 13 } { 8 }$$

Evaluate

$$4$$

Solution Steps

Multiply \frac{5}{12} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$6-\frac{5\times 9}{12\times 10}-\frac{13}{8}$$

Do the multiplications in the fraction \frac{5\times 9}{12\times 10}.

$$6-\frac{45}{120}-\frac{13}{8}$$

Reduce the fraction \frac{45}{120} to lowest terms by extracting and canceling out 15.

$$6-\frac{3}{8}-\frac{13}{8}$$

Convert 6 to fraction \frac{48}{8}.

$$\frac{48}{8}-\frac{3}{8}-\frac{13}{8}$$

Since \frac{48}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-3}{8}-\frac{13}{8}$$

Subtract 3 from 48 to get 45.

$$\frac{45}{8}-\frac{13}{8}$$

Since \frac{45}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-13}{8}$$

Subtract 13 from 45 to get 32.

$$\frac{32}{8}$$

Divide 32 by 8 to get 4.

$$4$$

Factor

$$2^{2}$$