Solve 23/100div7/30

$$\frac { 23 } { 100 } \div \frac { 7 } { 30 }$$

Evaluate

$$\frac{69}{70}\approx 0.985714286$$

Solution Steps

Divide \frac{23}{100} by \frac{7}{30} by multiplying \frac{23}{100} by the reciprocal of \frac{7}{30}.

$$\frac{23}{100}\times \frac{30}{7}$$

Multiply \frac{23}{100} times \frac{30}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 30}{100\times 7}$$

Do the multiplications in the fraction \frac{23\times 30}{100\times 7}.

$$\frac{690}{700}$$

Reduce the fraction \frac{690}{700} to lowest terms by extracting and canceling out 10.

$$\frac{69}{70}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 5 \cdot 7} = 0.9857142857142858$$