Simplify - 4 35 - 2 79 - 1 215 - 25-

The correct option is B 1345 #10;We #10;have , #10;4 35 2 79 #10;1 215 25 #10;= 235 #10; 259 17 ...

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Byju's Answer

Standard VII

Mathematics

Addition of Rational Numbers

Simplify : 4 ...

Question

Simplify : 4 $\frac{3}{5}$ - 2 $\frac{7}{9}$ - 1 $\frac{2}{15}$ - $\frac{2}{5}$ .

\frac{14}{45}

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\frac{13}{45}

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\frac{16}{45}

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\frac{12}{45}

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Solution

The correct option is B $\frac{13}{45}$
We have ,
4 $\frac{3}{5}$ - 2 $\frac{7}{9}$ - 1 $\frac{2}{15}$ - $\frac{2}{5}$
= $\frac{23}{5}$ - $\frac{25}{9}$ - $\frac{17}{15}$ - $\frac{2}{5}$
Now, LCM of 5, 9 and 15 = 45
$∴$ $\frac{23}{5}$ - $\frac{25}{9}$ - $\frac{17}{15}$ - $\frac{2}{5}$
= $\frac{23 \times 9}{5 \times 9}$ - $\frac{25 \times 5}{9 \times 5}$ - $\frac{17 \times 3}{15 \times 3}$ - $\frac{2 \times 9}{5 \times 9}$
= $\frac{207}{45}$ - $\frac{125}{45}$ - $\frac{51}{45}$ - $\frac{18}{45}$ = $\frac{13}{45}$

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Similar questions

Simplify:

$3 \sqrt{45} - \frac{5}{2} \sqrt{\frac{1}{3}} + 4 \sqrt{3}$

Q. Simplify the expression.

(i)

45 \div 5 + 20 \times 4 - 12

(ii)

(38 - 8) \times 2 \div 5 + 13

(iii)

\frac{5}{3} + \frac{4}{7} \div \frac{32}{21}

(iv)

3 \times \{4 [85 + 5 - (15 \div 3)] + 2\}

Simplify
$45 \times (5 - 2) - 15 \times (8 - 5)$

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Simplify : $\frac{(2 \sqrt{45} + 3 \sqrt{20})}{2 \sqrt{5}}$

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Simplify : 435 - 279 - 1215 - 25.

The correct option is B 1345 We have , 435 - 279 - 1215 - 25 = 235 - 259 - 1715 - 25 Now, LCM of 5, 9 and 15 = 45 ∴ 235 - 259 - 1715 - 25 = 23×95×9 - 25×59×5 - 17×315×3 - 2×95×9 = 20745 - 12545 - 5145 - 1845 = 1345

Simplify : 4 $\frac{3}{5}$ - 2 $\frac{7}{9}$ - 1 $\frac{2}{15}$ - $\frac{2}{5}$ .