Solve 11/4/1frac{1{2}}=1/4/frac{1{2}}

$$\frac { 1 \frac { 1 } { 4 } } { 1 \frac { 1 } { 2 } } = \frac { \frac { 1 } { 4 } } { \frac { 1 } { 2 } }$$

Verify

Solution Steps

Divide \frac{1\times 4+1}{4} by \frac{1\times 2+1}{2} by multiplying \frac{1\times 4+1}{4} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{\left(1\times 4+1\right)\times 2}{4\left(1\times 2+1\right)}=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+4}{2\left(1+2\right)}=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Add 1 and 4 to get 5.

$$\frac{5}{2\left(1+2\right)}=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Add 1 and 2 to get 3.

$$\frac{5}{2\times 3}=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{6}=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Divide \frac{1}{4} by \frac{1}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{1}{2}.

$$\frac{5}{6}=\frac{1}{4}\times 2$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{5}{6}=\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}=\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}=\frac{3}{6}$$

Compare \frac{5}{6} and \frac{3}{6}.

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