Solve 0.975div3/8

$$0.975 \div \frac { 3 } { 8 }$$

Evaluate

$$2.6$$

Solution Steps

Divide 0.975 by \frac{3}{8} by multiplying 0.975 by the reciprocal of \frac{3}{8}.

$$0.975\times \frac{8}{3}$$

Convert decimal number 0.975 to fraction \frac{975}{1000}. Reduce the fraction \frac{975}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{39}{40}\times \frac{8}{3}$$

Multiply \frac{39}{40} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 8}{40\times 3}$$

Do the multiplications in the fraction \frac{39\times 8}{40\times 3}.

$$\frac{312}{120}$$

Reduce the fraction \frac{312}{120} to lowest terms by extracting and canceling out 24.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$