What is (7/8-5/8)+10/8 ?

The solution to (7/8-5/8)+10/8 is 1 1/2

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Popular >

(7/8-5/8)+10/8

Solution

(\frac{7}{8} - \frac{5}{8}) + \frac{10}{8}

Solution

1 \frac{1}{2}

Solution steps

(\frac{7}{8} - \frac{5}{8}) + \frac{10}{8}

\frac{10}{8} = \frac{5}{4}

Cancel the common factor:

2

\frac{5}{4}

= \frac{7}{8} - \frac{5}{8} + \frac{5}{4}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{7}{8} - \frac{5}{8} + \frac{5}{4} : \frac{3}{2}

\frac{7}{8} - \frac{5}{8} + \frac{5}{4}

\frac{7}{8} - \frac{5}{8} = \frac{1}{4}

\frac{7}{8} - \frac{5}{8}

Apply rule

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

= \frac{7 - 5}{8}

Subtract the numbers:

7 - 5 = 2

= \frac{2}{8}

Cancel the common factor:

2

= \frac{1}{4}

= \frac{1}{4} + \frac{5}{4}

\frac{1}{4} + \frac{5}{4} = \frac{3}{2}

\frac{1}{4} + \frac{5}{4}

Apply rule

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

= \frac{1 + 5}{4}

Add the numbers:

1 + 5 = 6

= \frac{6}{4}

Cancel the common factor:

2

= \frac{3}{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}

Popular Examples

-[4+(3-6)-(-10-4+6)]

- [4 + (3 - 6) - (- 10 - 4 + 6)]

-4((5(-6+7-8-10+20-30+5)))

- 4 ((5 (- 6 + 7 - 8 - 10 + 20 - 30 + 5)))

2(-3)^3+5(-3)^2+8(-3)-10

2 (- 3)^{3} + 5 (- 3)^{2} + 8 (- 3) - 10

5*2+7

5 \cdot 2 + 7

simplify (21/3)/(1/2)simplify

\frac{\frac{21}{3}}{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is (7/8-5/8)+10/8 ?
The solution to (7/8-5/8)+10/8 is 1 1/2