Your child sees ⅔ + ¼ and writes 3/7.
You explain that the answer is wrong, but the correction does not seem to stick. The next day, they make the same mistake with different numbers.
If your child is in Grade 7 in Ontario, this is a useful moment to slow down. The issue may not be a forgotten rule. They may not yet understand why fractions need equal-sized parts before they can be added.
Once that idea makes sense, the calculation becomes much easier to remember.
Why can’t you just add the top and bottom numbers?
Imagine adding two thirds of a pizza and one quarter of the same-sized pizza.
The pieces are different sizes. A third is larger than a quarter, so you cannot count them together as though they were identical pieces.
Writing (2 + 1)/(3 + 4) = 3/7 changes the size of the pieces and does not represent the amount of pizza you started with.
Before using a written method, ask your child to draw two identical rectangles: divide one into thirds and shade two parts; divide the other into quarters and shade one part. Ask them whether the shaded pieces are the same size. That is the central question.
How do you add ⅔ and ¼ correctly?
Find a way to describe both fractions using equal-sized parts. Twelfths work because each third can be divided into four twelfths, and each quarter into three twelfths.
- ⅔ = 8/12
- ¼ = 3/12
Now add the parts: 8/12 + 3/12 = 11/12.
Ask your child to check whether the answer makes sense. Two thirds is already more than one half. Adding another quarter should give a result close to, but less than, one whole. 11/12 fits that expectation; 3/7 does not.
That quick reasonableness check can help them catch mistakes before handing in their work.
Three questions to find the exact difficulty
Try these one at a time. Let your child draw fraction bars or explain aloud.
1. Can they add fractions when the pieces are already equal?
Question: 2/7 + 3/7 = ?
Answer: 5/7.
If this is difficult, begin with what the denominator represents: the whole is divided into seven equal parts, and the child has five of those parts altogether.
2. Can they recognise equivalent fractions?
Question: Is ½ the same amount as 3/6?
Answer: Yes.
Divide each of the two halves into three equal pieces. The whole now has six equal pieces, and one half covers three of them.
If your child cannot see why those amounts are equal, practise with drawings before moving to more unlike-denominator additions.
3. Can they make the parts equal before adding?
Question: ½ + ⅓ = ?
Answer: 5/6.
One half is 3/6 and one third is 2/6. So 3/6 + 2/6 = 5/6.
Ask your child why sixths were useful. An explanation such as “both fractions can be written in sixths” shows more understanding than simply remembering which numbers to multiply.
What if your child knows the steps but still gets word problems wrong?
They may understand fraction addition on its own but struggle to identify it inside a story. Try:
A ribbon is ½ metre long. Another ribbon is ⅓ metre long. What is their combined length?
Ask three questions before calculating:
- What are we measuring? Ribbon length.
- What are we finding? The combined length.
- Should we add or subtract? Add.
The calculation is still ½ + ⅓ = 5/6 metre, but the child also has to understand what the answer means.
If the ribbons are not being joined, or a question asks how much longer one is, the operation may change. Reading the situation carefully matters as much as knowing the fraction method.
How can parents help without completing the homework?
Ask your child to show the fractions with a sketch. Then ask, “Are these pieces the same size yet?”
If the answer is no, ask how they could rename the fractions using equal-sized parts. Give them time to suggest a denominator before demonstrating it.
After solving, ask:
- “Should the answer be larger than each fraction we added?”
- “Could the answer be greater than one whole?”
- “Does the drawing agree with your calculation?”
These questions help your child check their thinking independently.
When should you speak with the teacher or consider tutoring?
If the same errors continue across several assignments, show the teacher a specific example. Ask whether the main difficulty is equivalent fractions, finding a common denominator, calculating accurately or understanding word problems.
A one-to-one Maths tutor should identify that starting point before assigning more practice. For one learner, drawings of equivalent fractions may be the key. Another may already understand the pictures but need help choosing a common denominator and applying the method independently.
Progress should be visible in a new question, not only in one your child has practised many times.
Online Grade 7 Maths tutoring for families in Ontario
Glareminds provides live, one-to-one online Maths tutoring for children in Ontario, including families in Toronto, Mississauga, Brampton and Ottawa. We begin with a free academic consultation and diagnostic conversation to understand your child’s schoolwork and learning needs.
If Grade 7 fractions are becoming a source of frustration, bring one recent assignment to the consultation. It will help us discuss where your child becomes stuck and what to practise first.
Explore Glareminds’ online tutoring for families in Canada and book a free consultation.