Solve 1/-frac{3{5}}=5/4/frac{4{5}}

$$\frac { 1 } { - \frac { 3 } { 5 } } = \frac { \frac { 5 } { 4 } } { \frac { 4 } { 5 } }$$

Verify

Solution Steps

Divide 1 by -\frac{3}{5} by multiplying 1 by the reciprocal of -\frac{3}{5}.

$$1\left(-\frac{5}{3}\right)=\frac{\frac{5}{4}}{\frac{4}{5}}$$

Multiply 1 and -\frac{5}{3} to get -\frac{5}{3}.

$$-\frac{5}{3}=\frac{\frac{5}{4}}{\frac{4}{5}}$$

Divide \frac{5}{4} by \frac{4}{5} by multiplying \frac{5}{4} by the reciprocal of \frac{4}{5}.

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

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

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

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

$$-\frac{5}{3}=\frac{25}{16}$$

Least common multiple of 3 and 16 is 48. Convert -\frac{5}{3} and \frac{25}{16} to fractions with denominator 48.

$$-\frac{80}{48}=\frac{75}{48}$$

Compare -\frac{80}{48} and \frac{75}{48}.

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