Question

5 1/4 ÷ 2 1/3 - 4 2/3 + 5 1/3 × 3 1/2


5 whole 1 upon 4 divided by 2 whole 1 upon 3 minus 4 whole 2 upon 3 + 5 whole 1 upon 3 multiply by 3 whole 1 upon 2

Answer 1

21/4 ÷ 7/3 - 14/3 + 16/3 × 7/2

21/4×3/7-14/3+16/3×7/2

9/4-14/3+112/6

-29/12+112/6

=200/12

=50/3 answer

Answer 2

$16 \frac{1}{4} \: or \: \frac{65}{4}$

Given:- $5 \frac{1}{4} ÷ 2 \frac{1}{3} - 4 \frac{2}{3} + 5 \frac{1}{3} × 3 \frac{1}{2}$

To Find:- value

Solution:-

$5 \frac{1}{4} ÷ 2 \frac{1}{3} - 4 \frac{2}{3} + 5 \frac{1}{3} × 3 \frac{1}{2}$

Step 1:- Converting mixed fraction into an improper fraction:

$= \frac{21}{4} \div \frac{7}{3} - \frac{14}{3} + \frac{16}{3} \times \frac{7}{2}$

Step 2 Following the BODMAS rule, we'll divide first.

As we know, when we divide two fraction then reciprocate the second fraction and use multiplication to get the result.

$= \frac{21}{4} \times \frac{3}{7} - \frac{14}{3} + \frac{16}{3} \times \frac{7}{2} \\ = \frac{63}{28} - \frac{14}{3} + \frac{16}{3} \times \frac{7}{2}$

Step 3: Multiply

$= \frac{63}{28} - \frac{14}{3} + \frac{112}{6}$

Step 4:- Making the denominator equal by taking LCM = 84

$= \frac{63 \times 3}{28 \times 3} - \frac{14 \times 28}{3 \times 28} + \frac{112 \times 14 }{6 \times 14}$

$= \frac{189}{84} - \frac{392}{84} + \frac{1568}{84} \\ = \frac{189 - 392 + 1568}{84}$

$= \frac{1365}{84} \\ = 16 \frac{21}{84} \\ = 16 \frac{1}{4}$

Hence, value is $16 \frac{1}{4} \: or \: \frac{65}{4}$

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