NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - True or False Questions
Question 45

Question. 45

Fractions with same numerator are called like fractions.

Answer:

false

Detailed Answer with Explanation:

Step 1: Recall the definition.

Like fractions are fractions that have the same denominator.

Step 2: Understand the words.

The numerator is the top number. The denominator is the bottom number in a fraction.

Step 3: Check the statement.

The statement says: “Fractions with the same numerator are like fractions.” We need to test this.

Step 4: Example with same numerator (top number the same).

Look at these fractions:

\[\dfrac{2}{3}\]
\[\dfrac{2}{5}\]

They have the same numerator (2), but different denominators (3 and 5). These are not like fractions because the denominators are different.

Step 5: Correct example of like fractions (bottom number the same).

Look at these fractions:

\[\dfrac{1}{4}\]
\[\dfrac{3}{4}\]
\[\dfrac{7}{4}\]

All have the same denominator (4). These are like fractions.

Step 6: Conclusion.

Like fractions have the same denominator, not the same numerator. Therefore, the given statement is false.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – True or False Questions | Detailed Answers