Simplify:
(a) $ 78.5 \p 3.14 $
(b) $ 56.272 \times 41.2 $
(c) $ 4 \frac{2}{9} \times 3 \frac{3}{8} \times 7 \frac{1}{2} $
(d) $ 4 \frac{4}{7} \p 5 \frac{1}{3} $

Given:

(a) \( 78.5 \div 3.14 \)
(b) \( 56.272 \times 41.2 \)
(c) \( 4 \frac{2}{9} \times 3 \frac{3}{8} \times 7 \frac{1}{2} \)
(d) \( 4 \frac{4}{7} \div 5 \frac{1}{3} \)

To do:

We have to simplify the given expressions.

Solution:

(a) $78.5 \div 3.14=\frac{78.5}{3.14}$

$=\frac{3.14\times25}{3.14}$

$=25$
(b) $56.272 \times 41.2=2318.4064$

(c) $4 \frac{2}{9} \times 3 \frac{3}{8} \times 7 \frac{1}{2}=\frac{4\times9+2}{9} \times \frac{8\times3+3}{8} \times \frac{7\times2+1}{2}$

$=\frac{38}{9} \times \frac{27}{8} \times \frac{15}{2}$

$=\frac{19\times3\times15}{1\times8\times1}$

$=\frac{855}{8}$

(d) $4 \frac{4}{7} \div 5 \frac{1}{3}=\frac{7\times4+4}{7} \div \frac{5\times3+1}{3}$

$=\frac{31}{7} \times \frac{3}{16}$

$=\frac{93}{112}$

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Updated on: 10-Oct-2022

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