Put in box11-13- 31-2 9-7 - 22-5

Step 1 : Solve LHS 11/13÷31/20ex0ex=11/13÷7/20ex0ex=11/13×2/70ex0ex=22/91Step 2 : Solve RHS9/7÷22/50ex0ex=9/7÷12/50ex0ex=9/7×5/120ex0ex=45/84Step 3 : On compari ...

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Byju's Answer

Standard VI

Mathematics

Inter Conversion of Mixed Fraction and Improper Fraction

Put in box11/...

Question

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$\frac{11}{13} \div 3 \frac{1}{2} () \frac{9}{7} \div 2 \frac{2}{5}$

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Solution

Step 1 : Solve LHS
$\frac{11}{13} \div 3 \frac{1}{2} = \frac{11}{13} \div \frac{7}{2} = \frac{11}{13} \times \frac{2}{7} = \frac{22}{91}$
Step 2 : Solve RHS
$\frac{9}{7} \div 2 \frac{2}{5} = \frac{9}{7} \div \frac{12}{5} = \frac{9}{7} \times \frac{5}{12} = \frac{45}{84}$
Step 3 : On comparing LHS and RHs, we get
$L C M (91, 84) = 1092$
$\Rightarrow \frac{22}{91} = \frac{22 \times 12}{91 \times 12} = \frac{264}{1092} A n d \Rightarrow \frac{45}{84} = \frac{45 \times 13}{84 \times 13} = \frac{585}{1092}$
Here, $264 < 585$
$L H S < R H S$
Hence, $\frac{11}{13} \div 3 \frac{1}{2} < \frac{9}{7} \div 2 \frac{2}{5}$

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Similar questions

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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${(7)}^{2} {▭ (2)}^{7}$

Put $< or >$ in box

$\frac{14}{5} \div 9 () \frac{16}{7} \div 8$

Put $< or >$ in box
$20 \div \frac{4}{5} () 16 \div \frac{1}{2}$

Complete the table and find using the table the solution of the equation, $\frac{z}{3} = 4$

$z$	$8$	$9$	$10$	$11$	$12$	$13$	$14$	$15$	$16$
$\frac{z}{3}$	$2 \frac{2}{3}$	$3$	$3 \frac{1}{3}$	-	-	-	-	-	-

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Put <or> in box1113÷31297÷225

Step 1 : Solve LHS 1113÷312=1113÷72=1113×27=2291Step 2 : Solve RHS97÷225=97÷125=97×512=4584Step 3 : On comparing LHS and RHs, we getLCM91,84=1092⇒2291=22×1291×12=2641092And⇒4584=45×1384×13=5851092Here, 264<585LHS<RHSHence, 1113÷312<97÷225

Put $< or >$ in box

$\frac{11}{13} \div 3 \frac{1}{2} () \frac{9}{7} \div 2 \frac{2}{5}$