What is (9/8-7/8)+10/8 ?

The solution to (9/8-7/8)+10/8 is 1 1/2

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Popular >

(9/8-7/8)+10/8

Solution

(\frac{9}{8} - \frac{7}{8}) + \frac{10}{8}

Solution

1 \frac{1}{2}

Solution steps

(\frac{9}{8} - \frac{7}{8}) + \frac{10}{8}

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

Cancel the common factor:

2

\frac{5}{4}

= \frac{9}{8} - \frac{7}{8} + \frac{5}{4}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{9}{8} - \frac{7}{8} + \frac{5}{4} : \frac{3}{2}

\frac{9}{8} - \frac{7}{8} + \frac{5}{4}

\frac{9}{8} - \frac{7}{8} = \frac{1}{4}

\frac{9}{8} - \frac{7}{8}

Apply rule

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

= \frac{9 - 7}{8}

Subtract the numbers:

9 - 7 = 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

45\div 15+2\times 2+24\div 12-16\div 4+1

45 \div 15 + 2 \times 2 + 24 \div 12 - 16 \div 4 + 1

-1/2 (-1)^3

- \frac{1}{2} (- 1)^{3}

-5^2-8(-5)+4

- 5^{2} - 8 (- 5) + 4

2^3+3^2-2^4-3^3

2^{3} + 3^{2} - 2^{4} - 3^{3}

9^2+15^2

9^{2} + 1 5^{2}

Frequently Asked Questions (FAQ)

What is (9/8-7/8)+10/8 ?
The solution to (9/8-7/8)+10/8 is 1 1/2