Solve =4/3*22/7*42.875

$$= \frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 42.875$$

Evaluate

$$\frac{539}{3}\approx 179.666666667$$

Solution Steps

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 22}{3\times 7}\times 42.875$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 42.875$$

Convert decimal number 42.875 to fraction \frac{42875}{1000}. Reduce the fraction \frac{42875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{88}{21}\times \frac{343}{8}$$

Multiply \frac{88}{21} times \frac{343}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 343}{21\times 8}$$

Do the multiplications in the fraction \frac{88\times 343}{21\times 8}.

$$\frac{30184}{168}$$

Reduce the fraction \frac{30184}{168} to lowest terms by extracting and canceling out 56.

$$\frac{539}{3}$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{3} = 179\frac{2}{3} = 179.66666666666666$$