Solve 5/4*-3/10=15/10

$$\frac { 5 } { 4 } \cdot - \frac { 3 } { 10 } = \frac { 15 } { 10 }$$

Verify

Solution Steps

Multiply \frac{5}{4} times -\frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-3\right)}{4\times 10}=\frac{15}{10}$$

Do the multiplications in the fraction \frac{5\left(-3\right)}{4\times 10}.

$$\frac{-15}{40}=\frac{15}{10}$$

Reduce the fraction \frac{-15}{40} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{8}=\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{8}=\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert -\frac{3}{8} and \frac{3}{2} to fractions with denominator 8.

$$-\frac{3}{8}=\frac{12}{8}$$

Compare -\frac{3}{8} and \frac{12}{8}.

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