\[\frac{3}{5}+\frac{2}{4}\]

Choose Topic

Examples

Simplify

\frac{2}{4}

\frac{1}{2}

\frac{3}{5}+\frac{1}{2}

Find the Least Common Denominator (LCD) of

\frac{3}{5},\frac{1}{2}

. In other words, find the Least Common Multiple (LCM) of

5,2

Method 1: By Listing Multiples

List the multiples of each number.

Multiples of 5

: 5, 10, ...

Multiples of 2

: 2, 4, 6, 8, 10, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM =

10

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 5

: 5

Prime Factors of 2

: 2

Find the union of these primes.

2,5

Multiply these numbers:

2\times 5=10

. This is the LCM.

LCM =

10

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

LCD =

10

Make the denominators the same as the LCD.

\frac{3\times 2}{5\times 2}+\frac{1\times 5}{2\times 5}

Simplify. Denominators are now the same.

\frac{6}{10}+\frac{5}{10}

Join the denominators.

\frac{6+5}{10}

Simplify.

\frac{11}{10}

Convert to mixed fraction.

1\frac{1}{10}

Done

Decimal Form: 1.1

Like this solution? Share it!