Solve 22/7*12*1.25=

$$\frac{ 22 }{ 7 } \times 12 \times 1.25=$$

Evaluate

$$\frac{330}{7}\approx 47.142857143$$

Solution Steps

Express \frac{22}{7}\times 12 as a single fraction.

$$\frac{22\times 12}{7}\times 1.25$$

Multiply 22 and 12 to get 264.

$$\frac{264}{7}\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{264}{7}\times \frac{5}{4}$$

Multiply \frac{264}{7} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{264\times 5}{7\times 4}$$

Do the multiplications in the fraction \frac{264\times 5}{7\times 4}.

$$\frac{1320}{28}$$

Reduce the fraction \frac{1320}{28} to lowest terms by extracting and canceling out 4.

$$\frac{330}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 11}{7} = 47\frac{1}{7} = 47.142857142857146$$