Solve (-7/10)*5/11=(-12/25)*(-15/28)

$$( - \frac { 7 } { 10 } ) \cdot \frac { 5 } { 11 } = ( - \frac { 12 } { 25 } ) \cdot ( - \frac { 15 } { 28 } )$$

Verify

Solution Steps

Multiply -\frac{7}{10} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\times 5}{10\times 11}=-\frac{12}{25}\left(-\frac{15}{28}\right)$$

Do the multiplications in the fraction \frac{-7\times 5}{10\times 11}.

$$\frac{-35}{110}=-\frac{12}{25}\left(-\frac{15}{28}\right)$$

Reduce the fraction \frac{-35}{110} to lowest terms by extracting and canceling out 5.

$$-\frac{7}{22}=-\frac{12}{25}\left(-\frac{15}{28}\right)$$

Multiply -\frac{12}{25} times -\frac{15}{28} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{7}{22}=\frac{-12\left(-15\right)}{25\times 28}$$

Do the multiplications in the fraction \frac{-12\left(-15\right)}{25\times 28}.

$$-\frac{7}{22}=\frac{180}{700}$$

Reduce the fraction \frac{180}{700} to lowest terms by extracting and canceling out 20.

$$-\frac{7}{22}=\frac{9}{35}$$

Least common multiple of 22 and 35 is 770. Convert -\frac{7}{22} and \frac{9}{35} to fractions with denominator 770.

$$-\frac{245}{770}=\frac{198}{770}$$

Compare -\frac{245}{770} and \frac{198}{770}.

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