Solve 1/4-2/45/56/6quadfrac{1}{2}frac{7}{2}

$$\frac { 1 } { 4 } - \frac { 2 } { 4 } \frac { 5 } { 5 } \frac { 6 } { 6 } \quad \frac { 1 } { 2 } \frac { 7 } { 2 }$$

Evaluate

$$-\frac{5}{8}=-0.625$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{1}{4}-\frac{2}{4}\times 1\times \frac{6}{6}\times \frac{1}{2}\times \frac{7}{2}$$

Divide 6 by 6 to get 1.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

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

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

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

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

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

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

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

Multiply \frac{1}{4} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 7}{4\times 2}.

$$\frac{1}{4}-\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{2}{8}-\frac{7}{8}$$

Since \frac{2}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-7}{8}$$

Subtract 7 from 2 to get -5.

$$-\frac{5}{8}$$

Factor

$$-\frac{5}{8} = -0.625$$