Solve 4/10*97/8

$$\frac { 4 } { 10 } \times 9 \frac { 7 } { 8 }$$

Evaluate

$$\frac{79}{20}=3.95$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{9\times 8+7}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{2}{5}\times \frac{72+7}{8}$$

Add 72 and 7 to get 79.

$$\frac{2}{5}\times \frac{79}{8}$$

Multiply \frac{2}{5} times \frac{79}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 79}{5\times 8}$$

Do the multiplications in the fraction \frac{2\times 79}{5\times 8}.

$$\frac{158}{40}$$

Reduce the fraction \frac{158}{40} to lowest terms by extracting and canceling out 2.

$$\frac{79}{20}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 5} = 3\frac{19}{20} = 3.95$$