Solve =23/7*1.5*1.5*7

$$= \frac { 23 } { 7 } \times 1.5 \times 1.5 \times 7$$

Evaluate

$$51.75$$

Solution Steps

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{7}\times \frac{3}{2}\times 1.5\times 7$$

Multiply \frac{23}{7} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 3}{7\times 2}\times 1.5\times 7$$

Do the multiplications in the fraction \frac{23\times 3}{7\times 2}.

$$\frac{69}{14}\times 1.5\times 7$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{69}{14}\times \frac{3}{2}\times 7$$

Multiply \frac{69}{14} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{69\times 3}{14\times 2}\times 7$$

Do the multiplications in the fraction \frac{69\times 3}{14\times 2}.

$$\frac{207}{28}\times 7$$

Express \frac{207}{28}\times 7 as a single fraction.

$$\frac{207\times 7}{28}$$

Multiply 207 and 7 to get 1449.

$$\frac{1449}{28}$$

Reduce the fraction \frac{1449}{28} to lowest terms by extracting and canceling out 7.

$$\frac{207}{4}$$

Factor

$$\frac{23 \cdot 3 ^ {2}}{2 ^ {2}} = 51\frac{3}{4} = 51.75$$