Solve |-53/5|*|-14/21|

$$| - 5 \frac { 3 } { 5 } | \cdot | - 1 \frac { 4 } { 21 } |$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Multiply 5 and 5 to get 25.

$$|-\frac{25+3}{5}||-\frac{1\times 21+4}{21}|$$

Add 25 and 3 to get 28.

$$|-\frac{28}{5}||-\frac{1\times 21+4}{21}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{28}{5} is \frac{28}{5}.

$$\frac{28}{5}|-\frac{1\times 21+4}{21}|$$

Multiply 1 and 21 to get 21.

$$\frac{28}{5}|-\frac{21+4}{21}|$$

Add 21 and 4 to get 25.

$$\frac{28}{5}|-\frac{25}{21}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{25}{21} is \frac{25}{21}.

$$\frac{28}{5}\times \frac{25}{21}$$

Multiply \frac{28}{5} times \frac{25}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 25}{5\times 21}$$

Do the multiplications in the fraction \frac{28\times 25}{5\times 21}.

$$\frac{700}{105}$$

Reduce the fraction \frac{700}{105} to lowest terms by extracting and canceling out 35.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$