Solve 0.98div11/6div7/25

$$0.98 \div 1 \frac { 1 } { 6 } \div \frac { 7 } { 25 }$$

Evaluate

$$3$$

Solution Steps

Divide \frac{0.98}{\frac{1\times 6+1}{6}} by \frac{7}{25} by multiplying \frac{0.98}{\frac{1\times 6+1}{6}} by the reciprocal of \frac{7}{25}.

$$\frac{0.98\times 25}{\frac{1\times 6+1}{6}\times 7}$$

Multiply 0.98 and 25 to get 24.5.

$$\frac{24.5}{\frac{1\times 6+1}{6}\times 7}$$

Multiply 1 and 6 to get 6.

$$\frac{24.5}{\frac{6+1}{6}\times 7}$$

Add 6 and 1 to get 7.

$$\frac{24.5}{\frac{7}{6}\times 7}$$

Express \frac{7}{6}\times 7 as a single fraction.

$$\frac{24.5}{\frac{7\times 7}{6}}$$

Multiply 7 and 7 to get 49.

$$\frac{24.5}{\frac{49}{6}}$$

Divide 24.5 by \frac{49}{6} by multiplying 24.5 by the reciprocal of \frac{49}{6}.

$$24.5\times \frac{6}{49}$$

Convert decimal number 24.5 to fraction \frac{245}{10}. Reduce the fraction \frac{245}{10} to lowest terms by extracting and canceling out 5.

$$\frac{49}{2}\times \frac{6}{49}$$

Multiply \frac{49}{2} times \frac{6}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 6}{2\times 49}$$

Cancel out 49 in both numerator and denominator.

$$\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$3$$

Factor

$$3$$