Solve 4-2/5div8/15-1/4

$$4 - \frac { 2 } { 5 } \div \frac { 8 } { 15 } - \frac { 1 } { 4 }$$

Evaluate

$$3$$

Solution Steps

Divide \frac{2}{5} by \frac{8}{15} by multiplying \frac{2}{5} by the reciprocal of \frac{8}{15}.

$$4-\frac{2}{5}\times \frac{15}{8}-\frac{1}{4}$$

Multiply \frac{2}{5} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$4-\frac{2\times 15}{5\times 8}-\frac{1}{4}$$

Do the multiplications in the fraction \frac{2\times 15}{5\times 8}.

$$4-\frac{30}{40}-\frac{1}{4}$$

Reduce the fraction \frac{30}{40} to lowest terms by extracting and canceling out 10.

$$4-\frac{3}{4}-\frac{1}{4}$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}-\frac{3}{4}-\frac{1}{4}$$

Since \frac{16}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-3}{4}-\frac{1}{4}$$

Subtract 3 from 16 to get 13.

$$\frac{13}{4}-\frac{1}{4}$$

Since \frac{13}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-1}{4}$$

Subtract 1 from 13 to get 12.

$$\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$3$$

Factor

$$3$$