Solve 11/14div1/7=11/14div1/14

$$\frac { 11 } { 14 } \div \frac { 1 } { 7 } = \frac { 11 } { 14 } \div \frac { 1 } { 14 }$$

Verify

Solution Steps

Divide \frac{11}{14} by \frac{1}{7} by multiplying \frac{11}{14} by the reciprocal of \frac{1}{7}.

$$\frac{11}{14}\times 7=\frac{\frac{11}{14}}{\frac{1}{14}}$$

Express \frac{11}{14}\times 7 as a single fraction.

$$\frac{11\times 7}{14}=\frac{\frac{11}{14}}{\frac{1}{14}}$$

Multiply 11 and 7 to get 77.

$$\frac{77}{14}=\frac{\frac{11}{14}}{\frac{1}{14}}$$

Reduce the fraction \frac{77}{14} to lowest terms by extracting and canceling out 7.

$$\frac{11}{2}=\frac{\frac{11}{14}}{\frac{1}{14}}$$

Divide \frac{11}{14} by \frac{1}{14} by multiplying \frac{11}{14} by the reciprocal of \frac{1}{14}.

$$\frac{11}{2}=\frac{11}{14}\times 14$$

Cancel out 14 and 14.

$$\frac{11}{2}=11$$

Convert 11 to fraction \frac{22}{2}.

$$\frac{11}{2}=\frac{22}{2}$$

Compare \frac{11}{2} and \frac{22}{2}.

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