I Find 1-4 of a 1-4b3-5c4-3

Name: NCERT - Grade 07 - Mathematics - Fractions and Decimals - Q17_1
Uploaded: 2022-07-04T10:36:42+05:30
Description: (a) 1/4of1/4 = 1/4×1/4 = 1 ×1/4 × 4 = 1/16 (b) 1/4of3/5 = 1/4×3/5 = 1 × 3/4 × 5 = 3/20 (c) 1/4of4/3 = 1/4×4 ...

(a) 1/4of1/4 = 1/4×1/4 = 1 ×1/4 × 4 = 1/16 (b) 1/4of3/5 = 1/4×3/5 = 1 × 3/4 × 5 = 3/20 (c) 1/4of4/3 = 1/4×4 ...

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Byju's Answer

Standard VII

Mathematics

Fraction as an Operator 'Of'

i Find 1/4 of...

Question

Question 1 (i)
Find
$\frac{1}{4} of (a) \frac{1}{4} (b) \frac{3}{5} (c) \frac{4}{3}$

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Solution

$(a) \frac{1}{4} o f \frac{1}{4} = \frac{1}{4} \times \frac{1}{4} = \frac{1 \times 1}{4 \times 4} = \frac{1}{16} (b) \frac{1}{4} o f \frac{3}{5} = \frac{1}{4} \times \frac{3}{5} = \frac{1 \times 3}{4 \times 5} = \frac{3}{20} (c) \frac{1}{4} o f \frac{4}{3} = \frac{1}{4} \times \frac{4}{3} = \frac{1 \times 4}{4 \times 3} = \frac{1}{3}$

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Q. Prove that

\frac{1}{2} C_{1} - \frac{2}{3} C_{2} + \frac{3}{4} C_{3} - \frac{4}{5} C_{4} + . . . . . . + (- 1)^{n + 1} \cdot \frac{n}{n + 1} = \frac{1}{n + 1}

Question 1 (i)

Find

12 \div \frac{3}{4}

Factorise:

(3a+1/4b)³

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Fraction as an Operator 'Of'

Standard VII Mathematics

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Question 1 (i) Find 14of(a)14(b)35(c)43

(a)14of14=14×14=1×14×4=116(b)14of35=14×35=1×34×5=320(c)14of43=14×43=1×44×3=13

Question 1 (i)
Find
$\frac{1}{4} of (a) \frac{1}{4} (b) \frac{3}{5} (c) \frac{4}{3}$