What is 8/5-1+13/15 ?

The solution to 8/5-1+13/15 is 1 7/15

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Popular Pre Algebra >

8/5-1+13/15

Solution

\frac{8}{5} - 1 + \frac{13}{15}

Solution

1 \frac{7}{15}

Decimal

1.46666 \dots

Solution steps

\frac{8}{5} - 1 + \frac{13}{15}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{8}{5} - 1 = \frac{3}{5}

\frac{8}{5} - 1

Convert element to fraction:

1 = \frac{1 \cdot 5}{5}

= - \frac{1 \cdot 5}{5} + \frac{8}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 5 + 8}{5}

- 1 \cdot 5 + 8 = 3

- 1 \cdot 5 + 8

Multiply the numbers:

1 \cdot 5 = 5

= - 5 + 8

Add/Subtract the numbers:

- 5 + 8 = 3

= 3

= \frac{3}{5}

= \frac{3}{5} + \frac{13}{15}

\frac{3}{5} + \frac{13}{15} = \frac{22}{15}

\frac{3}{5} + \frac{13}{15}

Least Common Multiplier of

5, 15 : 15

5, 15

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

Prime factorization of

15 : 3 \cdot 5

15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5

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

5

15

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

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

15

For

\frac{3}{5} :

multiply the denominator and numerator by

3

\frac{3}{5} = \frac{3 \cdot 3}{5 \cdot 3} = \frac{9}{15}

= \frac{9}{15} + \frac{13}{15}

Since the denominators are equal, combine the fractions:

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

= \frac{9 + 13}{15}

Add the numbers:

9 + 13 = 22

= \frac{22}{15}

= \frac{22}{15}

Convert improper fractions to mixed numbers:

\frac{22}{15} = 1 \frac{7}{15}

\frac{22}{15} = 1

Remainder

7

\frac{22}{15}

Write the problem in long division format

15 \overline{∣ 22}

Divide

22

15

to get

1

Divide

22

15

to get

1

1 15 \overline{∣ 22}

Multiply the quotient digit

(1)

by the divisor

15

1 15 \overline{∣ 22} \underline{15}

Subtract

15

from

22

1 15 \overline{∣ 22} \underline{15} 7

1 15 \overline{∣ 22} \underline{15} 7

The solution for Long Division of

\frac{22}{15}

1

with remainder of

7

1 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{22}{15} = 1 \frac{7}{15}

= 1 \frac{7}{15}

= 1 \frac{7}{15}

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What is 8/5-1+13/15 ?
The solution to 8/5-1+13/15 is 1 7/15

8/5-1+13/15

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 8/5-1+13/15 ?

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