Solve 3/4-(-1/2)(5/8)=((-1/4)(frac{-1}{4})]

$$\frac { 3 } { 4 } - ( \frac { - 1 } { 2 } ) ( \frac { 5 } { 8 } ) = ( ( \frac { - 1 } { 4 } ) ( \frac { - 1 } { 4 } ) ]$$

Verify

Solution Steps

Multiply \frac{-1}{4} and \frac{-1}{4} to get \left(\frac{-1}{4}\right)^{2}.

$$\frac{3}{4}-\frac{-1}{2}\times \frac{5}{8}=\left(\frac{-1}{4}\right)^{2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{3}{4}-\left(-\frac{1}{2}\times \frac{5}{8}\right)=\left(\frac{-1}{4}\right)^{2}$$

Multiply -\frac{1}{2} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}-\frac{-5}{2\times 8}=\left(\frac{-1}{4}\right)^{2}$$

Do the multiplications in the fraction \frac{-5}{2\times 8}.

$$\frac{3}{4}-\frac{-5}{16}=\left(\frac{-1}{4}\right)^{2}$$

Fraction \frac{-5}{16} can be rewritten as -\frac{5}{16} by extracting the negative sign.

$$\frac{3}{4}-\left(-\frac{5}{16}\right)=\left(\frac{-1}{4}\right)^{2}$$

The opposite of -\frac{5}{16} is \frac{5}{16}.

$$\frac{3}{4}+\frac{5}{16}=\left(\frac{-1}{4}\right)^{2}$$

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{5}{16} to fractions with denominator 16.

$$\frac{12}{16}+\frac{5}{16}=\left(\frac{-1}{4}\right)^{2}$$

Since \frac{12}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{16}=\left(\frac{-1}{4}\right)^{2}$$

Add 12 and 5 to get 17.

$$\frac{17}{16}=\left(\frac{-1}{4}\right)^{2}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$\frac{17}{16}=\left(-\frac{1}{4}\right)^{2}$$

Calculate -\frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{17}{16}=\frac{1}{16}$$

Compare \frac{17}{16} and \frac{1}{16}.

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