Solve -1/2*3/4/frac{4{7}}=

$$- \frac { 1 } { 2 } \cdot \frac { \frac { 3 } { 4 } } { \frac { 4 } { 7 } } =$$

Evaluate

$$-\frac{21}{32}=-0.65625$$

Solution Steps

Divide \frac{3}{4} by \frac{4}{7} by multiplying \frac{3}{4} by the reciprocal of \frac{4}{7}.

$$-\frac{1}{2}\times \frac{3}{4}\times \frac{7}{4}$$

Multiply \frac{3}{4} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{2}\times \frac{3\times 7}{4\times 4}$$

Do the multiplications in the fraction \frac{3\times 7}{4\times 4}.

$$-\frac{1}{2}\times \frac{21}{16}$$

Multiply -\frac{1}{2} times \frac{21}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-21}{2\times 16}$$

Do the multiplications in the fraction \frac{-21}{2\times 16}.

$$\frac{-21}{32}$$

Fraction \frac{-21}{32} can be rewritten as -\frac{21}{32} by extracting the negative sign.

$$-\frac{21}{32}$$

Factor

$$-\frac{21}{32} = -0.65625$$