Solve -i 4 -13ii 2 -67iii 11 -47iv 20 -45

I) 4 #10;×1 3 #10; #10; = #10;4 × 1 3 #10; #10; 4 #10;×1 3 = 4 3 #10; #10; = #10;4 3 #10; #10;ii) 2 #10; ...

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Byju's Answer

Standard VII

Mathematics

Fraction as an Operator 'Of'

Solve :i 4 ...

Question

Solve :

(i) $4 \times \frac{1}{3}$

(ii) $2 \times \frac{6}{7}$
(iii) $11 \times \frac{4}{7}$
(iv) $20 \times \frac{4}{5}$

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Solution

i) $4 \times \frac{1}{3}$

$= \frac{4 \times 1}{3}$

$4 \times \frac{1}{3} = \frac{4}{3}$

$= \frac{4}{3}$

ii) $2 \times \frac{6}{7}$

$= \frac{2 \times 6}{7}$

$2 \times \frac{6}{7} = \frac{12}{7}$

$= \frac{12}{7}$

iii) $11 \times \frac{4}{7}$

$= \frac{11 \times 4}{7}$

$11 \times \frac{4}{7} = \frac{44}{7}$

$= \frac{44}{7}$

iv) $20 \times \frac{4}{5}$

$= \frac{20 \times 4}{5}$

$= \frac{4 \times 4}{1}$

$20 \times \frac{4}{5} = 16$

$= \frac{16}{1}$

$= 16$

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Similar questions

Q. Multiply and reduce to lowest form and convert into a mixed fraction
(i)

7 \times \frac{3}{5}

(ii)

4 \times \frac{1}{3}

(iii)

2 \times \frac{6}{7}

(iv)

5 \times \frac{2}{9}

(v)

\frac{5}{2} \times 6

(vi)

11 \times \frac{4}{7}

(vii)

20 \times \frac{4}{5}

(viii)

\frac{2}{3} \times 4

Match the following

(1)–(iii), (viii); (2)–(i), (iv); (3)–(ii), (vi); (4)-(ii),(v); (5)–(iii), (iv); (6)–(i) (vii); (7)–(ii), (iv)
(1)–(ii), (vii); (2)–(i), (iv); (3)–(ii), (vi); (4)-(ii),(v); (5)–(ii), (iv); (6)–(i) (viii); (7)–(iii), (iv)
(1)–(ii), (vii); (2)–(i), (vii); (3)–(iii), (iv); (4)-(i),(v); (5)–(ii), (vi); (6)–(i) (vi); (7)–(i), (iv)
(1)–(ii), (vii); (2)–(i), (iv); (3)–(ii), (vi); (4)-(ii),(iv); (5)–(i), (viii); (6)–(iii) (iv); (7)–(iii), (vii)

Solve:-

(i) $5 (3 x - 4) - 8 (6 x - 7) = 9 x - 8$

(ii) $2 x - \frac{3 x}{5} = 7$

(iii) $\frac{2 z}{3} - 5 = \frac{3 z}{4} - 1$

(iv) $\frac{4 x}{7} - 12 = 7$

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) $7 \times \frac{3}{5}$ (ii) $4 \times \frac{1}{3}$
(iii) $2 \times \frac{6}{7}$ (iv) $5 \times \frac{2}{9}$

(v) $\frac{2}{3} \times 4$ (vi) $\frac{5}{2} \times 6$
(vii) $11 \times \frac{4}{7}$ (viii) $20 \times \frac{4}{5}$
(ix) $13 \times \frac{1}{3}$ (x) $15 \times \frac{3}{5}$

Match Column A appropriately with Column B.

$\begin{matrix} C o l u m n A & C o l u m n B (i)The Central Nervous System constitutes of & 1.Ears,Eyes,Nose (ii)Reflex axes are formed in & 2.Olfactory (iii)Receptors that detect taste & 3. Spinal cord and the Brain (iv)Receptors that detect smell & 4. Muscles and Glands (v)Examples of receptor organs are & 5. Gustatory (vi)Examples of effector organs are & 6. Spinal Cord (vii)Peripheral Nervous System consists of & 7. Spinal nerves from the spinal cord and cranial nerves from the brain \end{matrix}$

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Solve :(i) 4×13(ii) 2×67(iii) 11×47(iv) 20×45

i) 4×13 =4×13 4×13=43 =43 ii) 2×67 =2×67 2×67=127 =127 iii) 11×47 =11×47 11×47=447 =447 iv) 20×45 =20×45 =4×41 20×45=16 =161 =16

Solve :

(i) $4 \times \frac{1}{3}$

(ii) $2 \times \frac{6}{7}$
(iii) $11 \times \frac{4}{7}$
(iv) $20 \times \frac{4}{5}$