What is 1/3 (-1)-7/8 ?

The solution to 1/3 (-1)-7/8 is -29/24

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Popular >

1/3 (-1)-7/8

Solution

\frac{1}{3} (- 1) - \frac{7}{8}

Solution

- \frac{29}{24}

Solution steps

\frac{1}{3} (- 1) - \frac{7}{8}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} (- 1) : - \frac{1}{3}

\frac{1}{3} (- 1)

Apply rule

a \cdot (- b) = - a \cdot b

\frac{1}{3} (- 1) = - \frac{1}{3} \cdot 1 = - \frac{1}{3}

= - \frac{1}{3}

= - \frac{1}{3} - \frac{7}{8}

Add and subtract (left to right)

- \frac{1}{3} - \frac{7}{8} : - \frac{29}{24}

- \frac{1}{3} - \frac{7}{8}

- \frac{1}{3} - \frac{7}{8} = - \frac{29}{24}

- \frac{1}{3} - \frac{7}{8}

Least Common Multiplier of

3, 8 : 24

3, 8

Least Common Multiplier (LCM)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

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

3

8

= 3 \cdot 2 \cdot 2 \cdot 2

Multiply the numbers:

3 \cdot 2 \cdot 2 \cdot 2 = 24

= 24

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

24

For

\frac{1}{3} :

multiply the denominator and numerator by

8

\frac{1}{3} = \frac{1 \cdot 8}{3 \cdot 8} = \frac{8}{24}

For

\frac{7}{8} :

multiply the denominator and numerator by

3

\frac{7}{8} = \frac{7 \cdot 3}{8 \cdot 3} = \frac{21}{24}

= - \frac{8}{24} - \frac{21}{24}

Since the denominators are equal, combine the fractions:

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

= \frac{- 8 - 21}{24}

Subtract the numbers:

- 8 - 21 = - 29

= \frac{- 29}{24}

Apply the fraction rule:

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

= - \frac{29}{24}

= - \frac{29}{24}

= - \frac{29}{24}

Popular Examples

16+34\div 17-7\times 2

16 + 34 \div 17 - 7 \times 2

-5(-2)^3-3(-2)^2-9(-2)+2

- 5 (- 2)^{3} - 3 (- 2)^{2} - 9 (- 2) + 2

(-2)-(-3)-(-20)-(30)

(- 2) - (- 3) - (- 20) - (30)

2^5\div 2

2^{5} \div 2

1/2 (-9)^2+6(-9)+20

\frac{1}{2} (- 9)^{2} + 6 (- 9) + 20

Frequently Asked Questions (FAQ)

What is 1/3 (-1)-7/8 ?
The solution to 1/3 (-1)-7/8 is -29/24