Solve 98div11/6div7/25

$$98 \div 1 \frac { 1 } { 6 } \div \frac { 7 } { 25 }$$

Evaluate

$$300$$

Solution Steps

Divide \frac{98}{\frac{1\times 6+1}{6}} by \frac{7}{25} by multiplying \frac{98}{\frac{1\times 6+1}{6}} by the reciprocal of \frac{7}{25}.

$$\frac{98\times 25}{\frac{1\times 6+1}{6}\times 7}$$

Multiply 98 and 25 to get 2450.

$$\frac{2450}{\frac{1\times 6+1}{6}\times 7}$$

Multiply 1 and 6 to get 6.

$$\frac{2450}{\frac{6+1}{6}\times 7}$$

Add 6 and 1 to get 7.

$$\frac{2450}{\frac{7}{6}\times 7}$$

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

$$\frac{2450}{\frac{7\times 7}{6}}$$

Multiply 7 and 7 to get 49.

$$\frac{2450}{\frac{49}{6}}$$

Divide 2450 by \frac{49}{6} by multiplying 2450 by the reciprocal of \frac{49}{6}.

$$2450\times \frac{6}{49}$$

Express 2450\times \frac{6}{49} as a single fraction.

$$\frac{2450\times 6}{49}$$

Multiply 2450 and 6 to get 14700.

$$\frac{14700}{49}$$

Divide 14700 by 49 to get 300.

$$300$$

Factor

$$2^{2}\times 3\times 5^{2}$$