Solve 3/4*+5/2=5/2-11/4

$$\frac{ 3 }{ 4 } \times + \frac{ 5 }{ 2 } = \frac{ 5 }{ 2 } - \frac{ 11 }{ 4 }$$

Verify

Solution Steps

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 2}=\frac{5}{2}-\frac{11}{4}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

$$\frac{15}{8}=\frac{5}{2}-\frac{11}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{11}{4} to fractions with denominator 4.

$$\frac{15}{8}=\frac{10}{4}-\frac{11}{4}$$

Since \frac{10}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15}{8}=\frac{10-11}{4}$$

Subtract 11 from 10 to get -1.

$$\frac{15}{8}=-\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and -\frac{1}{4} to fractions with denominator 8.

$$\frac{15}{8}=-\frac{2}{8}$$

Compare \frac{15}{8} and -\frac{2}{8}.

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