Solve -5/3*(-66/25)=22/5-1

$$- \frac { 5 } { 3 } \cdot ( - \frac { 66 } { 25 } ) = \frac { 22 } { 5 } - 1$$

Verify

Solution Steps

Multiply -\frac{5}{3} times -\frac{66}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-66\right)}{3\times 25}=\frac{22}{5}-1$$

Do the multiplications in the fraction \frac{-5\left(-66\right)}{3\times 25}.

$$\frac{330}{75}=\frac{22}{5}-1$$

Reduce the fraction \frac{330}{75} to lowest terms by extracting and canceling out 15.

$$\frac{22}{5}=\frac{22}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{22}{5}=\frac{22}{5}-\frac{5}{5}$$

Since \frac{22}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22}{5}=\frac{22-5}{5}$$

Subtract 5 from 22 to get 17.

$$\frac{22}{5}=\frac{17}{5}$$

Compare \frac{22}{5} and \frac{17}{5}.

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