Solve 4/9-7/16*4/9

$$\frac { 4 } { 9 } - \frac { 7 } { 16 } \times \frac { 4 } { 9 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{7}{16} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}-\frac{7\times 4}{16\times 9}$$

Do the multiplications in the fraction \frac{7\times 4}{16\times 9}.

$$\frac{4}{9}-\frac{28}{144}$$

Reduce the fraction \frac{28}{144} to lowest terms by extracting and canceling out 4.

$$\frac{4}{9}-\frac{7}{36}$$

Least common multiple of 9 and 36 is 36. Convert \frac{4}{9} and \frac{7}{36} to fractions with denominator 36.

$$\frac{16}{36}-\frac{7}{36}$$

Since \frac{16}{36} and \frac{7}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-7}{36}$$

Subtract 7 from 16 to get 9.

$$\frac{9}{36}$$

Reduce the fraction \frac{9}{36} to lowest terms by extracting and canceling out 9.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$