Monday , November 4 2024
Mathematics

NCERT 5th Class (CBSE) Mathematics: Fractions

Fraction in the lowest terms: A fraction is in its lowest term when the only common factor between the numerator and the denominator is 1.

1/2, 2/4, 3/6 are all equivalent fractions, but 1/2 is in its lowest term.

To reduce a fraction to its lowest terms you keep dividing the numerator and the denominator by the same number till you cannot divide further.

18/30 =  18 (÷2)/30 (÷2) = 9/15 = 9 (÷3)/15 (÷3) = 3/5

Addition of fractions

  1. Like fractions
    3/5 + 1/5 = 4/5
  2. Unlike fractions
    2/5 + 1/4 = 8/20 + 5/20 = 13/20              LCM of 5 and 4 is 20
  3. Mixed numbers
    Mixed Numbers - 3

Subtraction of fractions

  1. Like fractions
    8/9 – 3/9 = 5/9
  2. Unlike fractions
    5/6 – 3/5 = 25/30 – 18/30 = 7/30                LCM of 6 and 5 is 30
  3. Mixed numbers
    Mixed Numbers - 4

MULTIPLICATION OF FRACTIONS

A. Multiplying Fractions by whole Numbers

(a) Shalini  is marking tea six people. She needs 2/3 teaspoon of leaves for each cup. How much will she need for 6 cups?

Shalini is making tea for six people

Repeated addion can also be also be shown as multiplication.

6×2/3 = ?

Step 1. Write the whole number as fraction

Whole number as a fraction

Step 2. Multiply the numerators

Multiply the numerators

Step 3. Multiply the denominators

Multiply the denominators

Step 4. Reduce to the lowest term

Reduce to the lowest term

6×2/3 = 4

Answer: Shalini needs 4 teaspoons of tea leaves to make 6 cups of tea.

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One comment

  1. I need worksheet for Class 5th Mathematics.