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We have two groups of adding fractions worksheets.
Add Like Fractions
Add Unlike Fractions
Free printable and online worksheets to help Grade 5 students practice adding unlike fractions or fractions with unlike denominators. The fractions given are fractions with different denominators.
There are three printable worksheets. The first will provide some guidance on the steps to find the common denominator. The second will have sums that are proper fractions and reducing may be required. The third may have sums that are more than one and will require converting to mixed numbers.
There are some worksheets and fraction word problems for online practice followed by a shortcut method for adding fractions quickly.
To add unlike fractions, you can follow these steps:
Step 1: Find a common denominator - the least common multiple (LCM) of the denominators of the fractions. This is the smallest number that both denominators can divide into evenly.
Step 2: Convert the fractions to equivalent fractions with the common denominator. To do this, multiply the numerator and denominator of each fraction by the necessary factor to make the denominator match the common denominator found in step 1.
Step 3: Add the numerators of the equivalent fractions obtained in step 2. The denominators remain the same.
Step 4: Simplify the resulting fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by the GCD.
Here’s an example to illustrate the steps:
Example: Add 1/4 and 3/7
Step 1: Find a common denominator:
The multiples of 4 are: 4, 8, 12, 16, 20, …
The multiples of 7 are: 7, 14, 21, 28, …
The least common multiple (LCM) of 4 and 7 is 28. So, the common denominator is 28.
Step 2: Convert the fractions to equivalent fractions with the common denominator:
1/4 becomes 7/28 (multiplied numerator and denominator by 7)
3/7 becomes 12/28 (multiplied numerator and denominator by 4)
Step 3: Add the numerators of the equivalent fractions:
7/28 + 12/28 = 19/28
Step 4: Simplify the resulting fraction:
The fraction 19/28 is already simplified, as 19 and 28 do not share any common factors other than 1.
So, the sum of 1/4 and 3/7 is 19/28.
Example:
Have a look at this video if you need to review how to add fractions.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Add Unlike Fractions Worksheets.
Printable
Add Unlike Fractions Worksheet #1 (step-by-step)
(Answers on the second page.)
Add Unlike Fractions Worksheet #2 (sums are proper fractions)
(Answers on the second page.)
Add Unlike Fractions Worksheet #3 (sums are mixed numbers)
(Answers on the second page.)
Online
Add Like Fractions (no reducing)
Subtract Like Fractions (no reducing)
Add/Subtract Like Fractions
Least Common Denominator
Add/Subtract Unlike Fractions (step-by-step)
Add/Subtract Unlike Fractions
13/8 = 1 5/8
17/12 = 1 5/12
13/12 = 1 1/12
There is a shortcut to add unlike fractions.
Here’s how it works:
Step 1: Identify the unlike fractions you want to add. For example, let’s add 1/3 and 2/5.
Step 2: Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa.
1/3 + 2/5 [(1 × 5) + (2 × 3)] / (3 × 5)
Step 3: Add the results from step 2 in the numerator, and write the common denominator as the denominator.
(5 + 6) / 15
Step 4: Simplify the fraction, if necessary.
11/15
So, the sum of 1/3 and 2/5 is 11/15. This shortcut can be useful when when you want to quickly calculate the sum of unlike fractions.
Have a look at this video if you need to review how to add fractions the shortcut.
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