Test: Fractions - Class 5 MCQ

Any non-zero fraction divided by itself equals 1. For example, 5/7 ÷ 5/7 = 1.

To add these fractions, convert 1/3 to 2/6 (common denominator). Thus, 5/6 + 2/6 = 7/6.

To divide by a fraction, multiply by its reciprocal. Thus, 3/8 ÷ 1/4 = 3/8 × 4/1 = 12/8, which simplifies to 3/2.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Here, (3 × 4) + 1 = 13, so 3 1/4 is 13/4.

A unit fraction is defined as a fraction where the numerator is 1. Therefore, 1/5 is a unit fraction, while the others have numerators greater than 1.

Multiply the whole number by the denominator (4 × 3 = 12) and add the numerator (12 + 2 = 14). So, 4 2/3 = 14/3.

Equivalent fractions represent the same value or part of a whole. In this case, 2/4 and 4/8 both simplify to 1/2, making them equivalent.

To find which fraction cannot be simplified, we need to look at each option:

• 8/24: This can be simplified to 1/3 by dividing both the numerator and the denominator by 8.
• 12/16: This can be simplified to 3/4 by dividing both by 4.
• 9/27: This can be simplified to 1/3 by dividing both by 9.
• 5/7: This fraction cannot be simplified because 5 and 7 have no common factors other than 1.

Therefore, the fraction that cannot be simplified is 5/7.

A proper fraction is one where the numerator is less than the denominator. Therefore, 4/5 is a proper fraction, while the others are either improper or equal to 1.

The numerator is the top number of a fraction, representing the number of selected parts. In the fraction 7/10, 7 is the numerator.

Doubling 3/4 means multiplying by 2: (3/4) × 2 = 6/4, which simplifies to 1 1/2 cups.

To convert, divide 22 by 7. The quotient is 3 with a remainder of 1, so 22/7 = 3 1/7.

To find one-half of a whole number, multiply the number by 1/2. So, 1/2 × 16 = 8.

To compare the fractions 5/12 and 7/16, we need to find a common denominator. The denominators are 12 and 16.

The least common multiple (LCM) of 12 and 16 is 48. Now, we convert both fractions:

• 5/12 becomes (5 × 4)/(12 × 4) = 20/48
• 7/16 becomes (7 × 3)/(16 × 3) = 21/48

Now we can compare 20/48 and 21/48. Since 21 is greater than 20, we find that:

7/16 is greater than 5/12.

Cross-multiplication can be used to compare unlike fractions. For example, to compare 2/3 and 3/5, multiply 2 by 5 and 3 by 3. Since 10 > 9, 2/3 is greater than 3/5.

The reciprocal of a fraction is found by swapping the numerator and denominator. Thus, the reciprocal of 4/9 is 9/4.

When multiplying a fraction by a whole number, multiply the numerator by that number while keeping the denominator the same. Thus, (3 × 2)/5 = 6/5.

To subtract, convert 1 to a fraction: 1 = 4/4. Thus, 4/4 - 3/4 = 1/4.

To add these fractions, find a common denominator (which is 6 in this case). Convert 2/3 to 4/6, then add: 4/6 + 1/6 = 5/6.

The highest common factor (H.C.F.) of 18 and 24 is 6. Dividing both by 6 gives 3/4, which is the fraction in its lowest terms.