What is -1/5+7/10+11/15 ?

The solution to -1/5+7/10+11/15 is 1 7/30

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Popular Pre Algebra >

-1/5+7/10+11/15

Solution

- 1/5 + 7/10 + 11/15

Solution

1 \frac{7}{30}

Decimal

1.23333 \dots

Solution steps

- 1/5 + 7/10 + 11/15

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 1/5 : \frac{- 1}{5}

- 1/5

- 1/5 = \frac{- 1}{5}

= \frac{- 1}{5}

= \frac{- 1}{5} + 7/10 + 11/15

Multiply and divide (left to right)

7/10 : \frac{7}{10}

7/10

7/10 = \frac{7}{10}

= \frac{7}{10}

= \frac{- 1}{5} + \frac{7}{10} + 11/15

Multiply and divide (left to right)

11/15 : \frac{11}{15}

11/15

11/15 = \frac{11}{15}

= \frac{11}{15}

= \frac{- 1}{5} + \frac{7}{10} + \frac{11}{15}

Add and subtract (left to right)

\frac{- 1}{5} + \frac{7}{10} + \frac{11}{15} : \frac{37}{30}

\frac{- 1}{5} + \frac{7}{10} + \frac{11}{15}

\frac{- 1}{5} + \frac{7}{10} = \frac{1}{2}

\frac{- 1}{5} + \frac{7}{10}

Apply the fraction rule:

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

= - \frac{1}{5} + \frac{7}{10}

Least Common Multiplier of

5, 10 : 10

5, 10

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

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

5

10

= 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10

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

10

For

\frac{1}{5} :

multiply the denominator and numerator by

2

\frac{1}{5} = \frac{1 \cdot 2}{5 \cdot 2} = \frac{2}{10}

= - \frac{2}{10} + \frac{7}{10}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 + 7}{10}

Add/Subtract the numbers:

- 2 + 7 = 5

= \frac{5}{10}

Cancel the common factor:

5

= \frac{1}{2}

= \frac{1}{2} + \frac{11}{15}

\frac{1}{2} + \frac{11}{15} = \frac{37}{30}

\frac{1}{2} + \frac{11}{15}

Least Common Multiplier of

2, 15 : 30

2, 15

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

2

15

= 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 30

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

30

For

\frac{1}{2} :

multiply the denominator and numerator by

15

\frac{1}{2} = \frac{1 \cdot 15}{2 \cdot 15} = \frac{15}{30}

For

\frac{11}{15} :

multiply the denominator and numerator by

2

\frac{11}{15} = \frac{11 \cdot 2}{15 \cdot 2} = \frac{22}{30}

= \frac{15}{30} + \frac{22}{30}

Since the denominators are equal, combine the fractions:

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

= \frac{15 + 22}{30}

Add the numbers:

15 + 22 = 37

= \frac{37}{30}

= \frac{37}{30}

= \frac{37}{30}

Convert improper fractions to mixed numbers:

\frac{37}{30} = 1 \frac{7}{30}

\frac{37}{30} = 1

Remainder

7

\frac{37}{30}

Write the problem in long division format

30 \overline{∣ 37}

Divide

37

30

to get

1

Divide

37

30

to get

1

1 30 \overline{∣ 37}

Multiply the quotient digit

(1)

by the divisor

30

1 30 \overline{∣ 37} \underline{30}

Subtract

30

from

37

1 30 \overline{∣ 37} \underline{30} 7

1 30 \overline{∣ 37} \underline{30} 7

The solution for Long Division of

\frac{37}{30}

1

with remainder of

7

1 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{37}{30} = 1 \frac{7}{30}

= 1 \frac{7}{30}

= 1 \frac{7}{30}

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What is -1/5+7/10+11/15 ?
The solution to -1/5+7/10+11/15 is 1 7/30

-1/5+7/10+11/15

Solution

Solution

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Frequently Asked Questions (FAQ)

What is -1/5+7/10+11/15 ?

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