What is (1-(1/2))/(1+(1/2)) ?

The solution to (1-(1/2))/(1+(1/2)) is 1/(21 1/2)

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(1-(1/2))/(1+(1/2))

\frac{1 - ( \frac{1}{2} )}{1 + ( \frac{1}{2} )}

\frac{1}{21 \frac{1}{2}}

Solution steps

\frac{1 - ( \frac{1}{2} )}{1 + ( \frac{1}{2} )}

Solve

1 - (\frac{1}{2}) : \frac{1}{2}

1 - (\frac{1}{2}) = \frac{1}{2}

= \frac{1}{2}

Solve

1 + (\frac{1}{2}) : 1 \frac{1}{2}

Follow the PEMDAS order of operations

1 + (\frac{1}{2}) = \frac{3}{2}

= \frac{3}{2}

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

\frac{3}{2} = 1

Remainder

1

\frac{3}{2}

Write the problem in long division format

2 \overline{∣ 3}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 3}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 3} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 3} \underline{2} 1

1 2 \overline{∣ 3} \underline{2} 1

The solution for Long Division of

\frac{3}{2}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3}{2} = 1 \frac{1}{2}

= 1 \frac{1}{2}

= 1 \frac{1}{2}

= \frac{\frac{1}{2}}{1 \frac{1}{2}}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{1}{21 \frac{1}{2}}

48 \div (20 - 24) + 3 \times (- 4 - 5) - 12 \div (- 6)

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\frac{( 2 ) ^{3} + 2 ( 2 ) ^{2} - 5 ( 2 ) + 6}{2 - 2}

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