Subtracting Fractions with Unlike Denominators Practice

Quesion icon
Question 2
What is the resulting fraction when we subtract 3/5 and 1/3 ? Give the answer in the simplest form.

Answer

Select and check your answer...
Answer icon
A. 2/15
B. 2/3
C. 4/15
D. 14/15
Check Answer

Step by Step Solution 

Solution icon
Step 1
Let's write down these fractions:
fractions have unlike denominators

From here, we can see that these fractions have unlike denominators.
Solution icon
Step 2
Since the denominators are not the same, we must make them the same before we are able to subtract them. To do so, we can use the ideas behind Equivalent Fractions.

To find the equivalent fractions, we can multiply 3/5 with the other fraction's denominator and vice versa. By doing so, both fractions will have like denominators. This is shown below:
Multiply to find equivalent fractions

Solution icon
Step 3
Now, both fraction have like denominators. We can proceed by adding these fractions. This will result in the fraction 4/15.
subtracting the fractions to get 4/15

Solution icon
Step 4
Finally, we get the fraction, 4/15. Clearly, the answer is C.

Show Step 1
Hide This Step