Fractions - 1 - Class 6 Mathematics Free MCQ Test with solutions

When one roti is divided equally among four children, each child gets 1/4 of the roti. This is because the whole roti is divided into four equal parts.

• Splitting a whole chikki into 6 equal pieces means each piece is one part out of six.
• The fraction for one part is written as 1/6.
• Option C, 1/6, correctly represents the size of each piece.

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All the numerators are 1, the fraction with the smallest denominator will be the largest. Therefore:

So, the correct answer is A: 1/3.

A paper strip is folded several times:

• The first fold makes 1/2.
• The second fold makes 1/4.
• The third fold makes 1/8.

If a student shades 6 pieces of 1/8, we need to find out how much of the whole strip this represents.

To calculate this:

• Each piece of 1/8 means there are 8 equal parts in the whole strip.
• Shading 6 pieces means the student has shaded 6/8 of the strip.

Now, we can simplify 6/8:

• Divide both the numerator and the denominator by 2.
• This gives us 3/4.

On a number line, 3/4 represents three-quarters of the whole strip.

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To arrange the fractions 1/2, 1/4, and 1/3 from smallest to largest:

• First, convert each fraction to a common denominator or compare their decimal values:
  • 1/4 = 0.25
  • 1/3 ≈ 0.33
  • 1/2 = 0.5
• From the values above, the order from smallest to largest is:
  • 1/4
  • 1/3
  • 1/2

Thus, the correct order is 1/4, 1/3, 1/2.

LCM of 3, 5 and 2 = 30

Add the fractions:

Convert to mixed fraction:

So, option (a) is the correct answer.

Option A is correct: 7/18.

Find the least common multiple (LCM) of the denominators 6 and 9. The LCM is 18.

Convert each fraction to an equivalent fraction with denominator 18. 5/6 = 15/18 and 4/9 = 8/18.

Subtract the numerators over the common denominator: 15/18 - 8/18 = 7/18.

Final answer: 7/18, so the correct option is A.

To find which fraction is equivalent to 3/4​, let's check each option:

• 6/11​ is not equivalent to 3/4.
• 9/10​ is not equivalent to 3/4.
• 15/20​ simplifies to 3/4​ because 15 ÷ 5 = 3 and 20 ÷ 5 = 4.
• 21/25​ is not equivalent to 3/4.

So, the correct answer is (c) 15/20.

A fraction is in lowest terms when the numerator and denominator have no common factor except 1.

36/60 — Both are divisible by 12, so not in lowest terms.
12/44 — Both are divisible by 4, so not in lowest terms.
27/45 — Both are divisible by 9, so not in lowest terms.
13/28 — 13 and 28 have no common factor except 1, so it is already in lowest terms.

Therefore, the fraction in lowest terms is 13/28.