Solve -1/4(7.077/6.231)

$$- \frac{ 1 }{ 4 } ( \frac{ 7.077 }{ 6.231 } )$$

Evaluate

$$-\frac{2359}{8308}\approx -0.283943187$$

Solution Steps

Expand \frac{7.077}{6.231} by multiplying both numerator and the denominator by 1000.

$$-\frac{1}{4}\times \frac{7077}{6231}$$

Reduce the fraction \frac{7077}{6231} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{4}\times \frac{2359}{2077}$$

Multiply -\frac{1}{4} times \frac{2359}{2077} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2359}{4\times 2077}$$

Do the multiplications in the fraction \frac{-2359}{4\times 2077}.

$$\frac{-2359}{8308}$$

Fraction \frac{-2359}{8308} can be rewritten as -\frac{2359}{8308} by extracting the negative sign.

$$-\frac{2359}{8308}$$

Factor

$$-\frac{2359}{8308} = -0.28394318728935963$$