The solution to 2/5+2/4 is 9/10

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Popular >

simplify 2/5+2/4

Solution

simplify

\frac{2}{5} + \frac{2}{4}

Solution

\frac{9}{10}

Decimal Notation

0.9

Solution steps

\frac{2}{5} + \frac{2}{4}

Cancel

\frac{2}{4} : \frac{1}{2}

\frac{2}{4}

Cancel the numbers:

\frac{2}{4} = \frac{1}{2}

= \frac{1}{2}

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

\frac{2}{5} + \frac{1}{2} = \frac{9}{10}

\frac{2}{5} + \frac{1}{2}

Least Common Multiplier of

5, 2 : 10

5, 2

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

5

2

= 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{2}{5} :

multiply the denominator and numerator by

2

\frac{2}{5} = \frac{2 \cdot 2}{5 \cdot 2} = \frac{4}{10}

For

\frac{1}{2} :

multiply the denominator and numerator by

5

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

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

Apply the fraction rule:

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

= \frac{4 + 5}{10}

Add the numbers:

4 + 5 = 9

= \frac{9}{10}

= \frac{9}{10}

Popular Examples

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- 16 + (- 25) + (- 10)

3(-4)^2+12(-4)-5

3 (- 4)^{2} + 12 (- 4) - 5

-3^3-3

- 3^{3} - 3

2(8)-3

2 (8) - 3

-3(-1)+4

- 3 (- 1) + 4

Frequently Asked Questions (FAQ)

What is 2/5+2/4 ?
The solution to 2/5+2/4 is 9/10

simplify 2/5+2/4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/5+2/4 ?