Solve 3/4(2/4+1)=3/4

$$\frac { 3 } { 4 } ( \frac { 2 } { 4 } + 1 ) = \frac { 3 } { 4 }$$

Verify

Solution Steps

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

$$\frac{3}{4}\left(\frac{1}{2}+1\right)=\frac{3}{4}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{3}{4}\left(\frac{1}{2}+\frac{2}{2}\right)=\frac{3}{4}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

Multiply \frac{3}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 3}{4\times 2}.

$$\frac{9}{8}=\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{9}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{9}{8}=\frac{6}{8}$$

Compare \frac{9}{8} and \frac{6}{8}.

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