What is (1\div 4)-(1\div 2) ?

The solution to (1\div 4)-(1\div 2) is -1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(1\div 4)-(1\div 2)

(1 \div 4) - (1 \div 2)

- \frac{1}{4}

Solution steps

(1 \div 4) - (1 \div 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(1 \div 4) : \frac{1}{4}

1 \div 4

1 \div 4 = \frac{1}{4}

= \frac{1}{4}

= \frac{1}{4} - (1 \div 2)

Calculate within parentheses

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

1 \div 2

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

= \frac{1}{2}

= \frac{1}{4} - \frac{1}{2}

Add and subtract (left to right)

\frac{1}{4} - \frac{1}{2} : - \frac{1}{4}

\frac{1}{4} - \frac{1}{2}

\frac{1}{4} - \frac{1}{2} = - \frac{1}{4}

\frac{1}{4} - \frac{1}{2}

Least Common Multiplier of

4, 2 : 4

4, 2

Least Common Multiplier (LCM)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Multiply each factor the greatest number of times it occurs in either

4

2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

4

For

\frac{1}{2} :

multiply the denominator and numerator by

2

\frac{1}{2} = \frac{1 \cdot 2}{2 \cdot 2} = \frac{2}{4}

= \frac{1}{4} - \frac{2}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{1 - 2}{4}

Subtract the numbers:

1 - 2 = - 1

= \frac{- 1}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{4}

= - \frac{1}{4}

= - \frac{1}{4}

2 (- 1)^{2} + 8 (- 1)

(7 \times 2 - 12 + 152) - (12 \times 2 + 12 + 152)

61 - ((55 + 44) + 3^{2}) - 633 \div 3

2 \times 5 \times + 9

- 9 - \frac{9}{8} - \frac{1}{3} - \frac{9}{64}