The solution to 1/5+3/8 is 23/40

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Popular >

simplify 1/5+3/8

Solution

simplify

\frac{1}{5} + \frac{3}{8}

Solution

\frac{23}{40}

Decimal Notation

0.575

Solution steps

\frac{1}{5} + \frac{3}{8}

Least Common Multiplier of

5, 8 : 40

5, 8

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

5

8

= 5 \cdot 2 \cdot 2 \cdot 2

Multiply the numbers:

5 \cdot 2 \cdot 2 \cdot 2 = 40

= 40

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

40

For

\frac{1}{5} :

multiply the denominator and numerator by

8

\frac{1}{5} = \frac{1 \cdot 8}{5 \cdot 8} = \frac{8}{40}

For

\frac{3}{8} :

multiply the denominator and numerator by

5

\frac{3}{8} = \frac{3 \cdot 5}{8 \cdot 5} = \frac{15}{40}

= \frac{8}{40} + \frac{15}{40}

Apply the fraction rule:

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

= \frac{8 + 15}{40}

Add the numbers:

8 + 15 = 23

= \frac{23}{40}

Popular Examples

-3-5+7+7

- 3 - 5 + 7 + 7

20^2-29^2

2 0^{2} - 2 9^{2}

1\div 4\times 1\div 4

1 \div 4 \times 1 \div 4

1-8+1/2

1 - 8 + \frac{1}{2}

12\times (10+30)\div 6-3\times 4+1

12 \times (10 + 30) \div 6 - 3 \times 4 + 1

Frequently Asked Questions (FAQ)

What is 1/5+3/8 ?
The solution to 1/5+3/8 is 23/40

simplify 1/5+3/8

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/5+3/8 ?