Solve 2/5*3/-20quad-5/7*5/28=frac{25}{28}

$$\frac { 2 } { 5 } \times \frac { 3 } { - 20 } \quad \frac { - 5 } { 7 } \times \frac { 5 } { 28 } = \frac { 25 } { 28 }$$

Verify

Solution Steps

Fraction \frac{3}{-20} can be rewritten as -\frac{3}{20} by extracting the negative sign.

$$\frac{2}{5}\left(-\frac{3}{20}\right)\times \frac{-5}{7}\times \frac{5}{28}=\frac{25}{28}$$

Multiply \frac{2}{5} times -\frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-3\right)}{5\times 20}\times \frac{-5}{7}\times \frac{5}{28}=\frac{25}{28}$$

Do the multiplications in the fraction \frac{2\left(-3\right)}{5\times 20}.

$$\frac{-6}{100}\times \frac{-5}{7}\times \frac{5}{28}=\frac{25}{28}$$

Reduce the fraction \frac{-6}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{50}\times \frac{-5}{7}\times \frac{5}{28}=\frac{25}{28}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$-\frac{3}{50}\left(-\frac{5}{7}\right)\times \frac{5}{28}=\frac{25}{28}$$

Multiply -\frac{3}{50} times -\frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-5\right)}{50\times 7}\times \frac{5}{28}=\frac{25}{28}$$

Do the multiplications in the fraction \frac{-3\left(-5\right)}{50\times 7}.

$$\frac{15}{350}\times \frac{5}{28}=\frac{25}{28}$$

Reduce the fraction \frac{15}{350} to lowest terms by extracting and canceling out 5.

$$\frac{3}{70}\times \frac{5}{28}=\frac{25}{28}$$

Multiply \frac{3}{70} times \frac{5}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{70\times 28}=\frac{25}{28}$$

Do the multiplications in the fraction \frac{3\times 5}{70\times 28}.

$$\frac{15}{1960}=\frac{25}{28}$$

Reduce the fraction \frac{15}{1960} to lowest terms by extracting and canceling out 5.

$$\frac{3}{392}=\frac{25}{28}$$

Least common multiple of 392 and 28 is 392. Convert \frac{3}{392} and \frac{25}{28} to fractions with denominator 392.

$$\frac{3}{392}=\frac{350}{392}$$

Compare \frac{3}{392} and \frac{350}{392}.

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