Solve 43/8*21/7

$$4 \frac { 3 } { 8 } \cdot 2 \frac { 1 } { 7 }$$

Evaluate

$$\frac{75}{8}=9.375$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}\times \frac{2\times 7+1}{7}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}\times \frac{2\times 7+1}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{35}{8}\times \frac{14+1}{7}$$

Add 14 and 1 to get 15.

$$\frac{35}{8}\times \frac{15}{7}$$

Multiply \frac{35}{8} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 15}{8\times 7}$$

Do the multiplications in the fraction \frac{35\times 15}{8\times 7}.

$$\frac{525}{56}$$

Reduce the fraction \frac{525}{56} to lowest terms by extracting and canceling out 7.

$$\frac{75}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {3}} = 9\frac{3}{8} = 9.375$$