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By Ankit Gupta
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Updated on 16 Jul 2026, 12:39 IST
Having a clear concept is important for developing a base in Mathematics. Otherwise, the subject becomes challenging when a student starts learning fractions, decimals, and word problems. What to do? Understanding the concept and memorizing the formula are crucial for students struggling with calculations, comparisons, and applying concepts to real-life situations.
Students studying in classes 6-7 need to build a strong foundation at this stage. Clearing concepts is very important, as they are going to be used throughout higher classes in topics like algebra, percentages, ratios, and geometry. How to do that? Simple explanations and regular practice are the ways every child can master them.
This guide explains the key concepts using step-by-step methods that make learning easier and help children gain confidence in Maths.
A fraction is a part of a whole number. It has two parts:
For example, if a pizza is divided into 8 equal slices and a child eats 3 slices, the fraction is 3/8.
Proper Fractions: The numerator is smaller than the denominator.
Example: 2/5
Improper Fractions: The numerator is greater than or equal to the denominator.
Example: 9/4
Mixed Fractions: A whole number and a fraction together.
Example: 2 1/4
Equivalent fractions have the same value even though they look different.
Example:
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Divide both the numerator and denominator by their greatest common factor. It simplifies the fraction.
Example:
12/16 = 3/4
Let's solve:
1/3 + 1/4
Step 1: Find the Least Common Multiple (LCM) of 3 and 4.
LCM = 12
Step 2: Convert both fractions.
1/3 = 4/12
1/4 = 3/12
Step 3: Add the numerators.
4 + 3 = 7
Answer = 7/12
Decimals are another way of writing fractions whose denominators are 10, 100, 1000, and so on.
For example:
0.5 = 5/10 = 1/2
0.75 = 75/100 = 3/4
Each digit after the decimal point has its own place value.
For example, in 4.582:
Fraction to Decimal:
3/4 = 3 ÷ 4 = 0.75
Decimal to Fraction:
0.6 = 6/10 = 3/5
Example:
2.5 × 1.2
Step 1: Ignore decimal points.
25 × 12 = 300
Step 2: Count decimal places.
2.5 has 1 decimal place.
1.2 has 1 decimal place.
Total = 2 decimal places.
Step 3: Place the decimal.
Answer = 3.00 = 3
Students should become comfortable with the four basic operations.
Example:
2/3 × 5/7 = 10/21
Line up decimal points before adding or subtracting.
Example:
4.25 + 2.5 = 6.75
For multiplication and division, carefully count decimal places.
To compare fractions:
3/4 and 5/8
Convert to a common denominator:
3/4 = 6/8
Since 6/8 > 5/8,
3/4 is greater.
To compare decimals:
0.45 and 0.405
Write as:
0.450 and 0.405
So, 0.450 > 0.405.
If you want to develop this skill in your child, encourage him/her to solve one step at a time and check his/her answers.
Many children find word problems difficult. Sometimes, they do not just understand where to begin.
Solved Example 1: A cake is cut into 8 pieces, and every piece is equal. Rahul eats 3 pieces. What fraction of the cake did he eat?
Answer: 3 out of 8 pieces i.e. 3/8
Solved Example 2: A bottle contains 2.5 liters of juice. If 1.2 liters are used, how much is left?
2.5 − 1.2 = 1.3 litres
Solved Example 3: Riya walked 1.5 km in the morning and 2.75 km in the evening. How far did she walk?
1.5 + 2.75 = 4.25 km
Confidence develops through regular practice. As much as your kid practices, he/she will get positive experiences. Thus, encourage your child to solve a few Maths questions every day. Instead of studying for long hours occasionally, it is wise to make him/her interested in the subject. You can give them everyday situations like cutting pizzas, measuring ingredients, or calculating discounts to explain fractions and decimals naturally.
Another important thing is creating a calm and relaxed learning environment. Make them understand that mistakes may happen, but it's a part of the learning process. It helps children become more confident problem-solvers.
Infinity Learn is a reputable educational platform that makes foundational Maths simple and engaging for students. They design age-appropriate video lessons that explain concepts like fractions, decimals, and word problems. Also, they give easy-to-understand examples to make the lessons more engaging and understandable. Their interactive practice questions provide instant feedback and help students identify mistakes. So, they can improve quickly.
With Infinity Learn, parents can also monitor their child's learning through a dedicated dashboard. So, they can track their progress, highlight strengths, and identify areas that need additional practice.
Make your child start Math preparation from today and strengthen his/her problem solving skills. Fractions, decimals, and word problems are essential building blocks for that. Infinity Learn designs its courses to make students understand concepts step by step, practice regularly, and apply Math in everyday life. So, your child can overcome common doubts with confidence, and it is the start to build strong mathematical foundations for the future.
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You can give him/her some visual examples like pizzas, chocolates, or paper folding to explain fractions. Regular practice can also strengthen their understanding.
Relate decimals to money and measurements. It will help your kid understand how decimals represent parts of a whole, making the concept much easier to understand.
Online learning platforms like Infinity Learn can be the best place to ask Math doubts. They provide step-by-step video lessons, practice questions, and clear explanations for common Math problems.
Teach your child to read carefully and identify important information. Guide him/her to choose the correct mathematical operation and solve one step at a time.
Yes. Infinity Learn is one of the top online platforms that offers structured lessons with interactive exercises and instant feedback. Therefore, the progress of every student can be tracked and help build the foundation.