Simplify-i 134 - 225 - 347ii 559 - 313

We have: (i)134 #215;225 #215;347 nbsp; nbsp; nbsp; nbsp; = 74 #215;125 #215;257 nbsp; nbsp; nbsp; nbsp; = 7 #215;12 #215;254 ...

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Byju's Answer

Standard VII

Mathematics

Properties of Multiplication of Integers

Simplify:i 13...

Question

Simplify:

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

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Solution

We have:

(i) $1 \frac{3}{4} \times 2 \frac{2}{5} \times 3 \frac{4}{7}$

= $\frac{7}{4} \times \frac{12}{5} \times \frac{25}{7}$

= $\frac{7 \times 12 \times 25}{4 \times 5 \times 7} = \frac{1 \times 3 \times 5}{1 \times 1 \times 1} = 15$

(ii) $5 \frac{5}{9} \div 3 \frac{1}{3}$

= $\frac{50}{9} \div \frac{10}{3}$

= $\frac{50}{9} \times \frac{3}{10}$ [∵ Reciprocal of $\frac{10}{3}$ = $\frac{3}{10}$ ]

= $\frac{5 \times 1}{3 \times 1} = \frac{5}{3} = 1 \frac{2}{3}$

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Similar questions

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(i) (3⁴)^1/4
(ii) (3^1/3)⁴
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(\frac{1}{3^{4}})

Q. Simplify:
(i)

\frac{3}{10} \div \frac{10}{3}

(ii)

4 \frac{3}{5} \div \frac{4}{5}

(iii)

5 \frac{4}{7} \div 1 \frac{3}{10}

(iv)

4 \div 2 \frac{2}{5}

Divide:
(i) $\frac{11}{24}$ by $\frac{7}{8}$
(ii) $\frac{55}{8}$ by $\frac{11}{16}$
(iii) $\frac{5}{39}$ by $\frac{3}{13}$
(iv) $\frac{3}{2}$ by $\frac{13}{5}$
(v) $\frac{4}{5}$ by $\frac{1}{45}$
(vi) $\frac{6}{3}$ by $\frac{21}{4}$

Simplify:

(i) ;

_(ii)_;

(iii);

(iv)

(v);

(vi).

Q. A film show lasted for

3 \frac{1}{3}

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Simplify: (i) 134×225×347 (ii) 559÷313

We have: (i)134×225×347 = 74×125×257 = 7×12×254×5×7=1×3×51×1×1=15 (ii) 559÷313 = 509÷103 = 509×310 [∵ Reciprocal of 103 = 310] = 5×13×1=53=123

Simplify:

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