Put in box21-2 - 41-2 31-2 - 51-2

Step 1 : Solve LHS21/2÷41/2 =5/2÷9/2 =5/2×2/9 =5/9Step 2 : Solve RHS31/2÷51/2 =7/2÷11/2 =7/2×2/11 =7/11Step 3 : On comparing LHS and RHS, we getLCM of (9, 11)= ...

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Byju's Answer

Standard VI

Mathematics

Comparing Ratios

Put in box21/...

Question

Put $< or >$ in box

$2 \frac{1}{2} \div 4 \frac{1}{2} () 3 \frac{1}{2} \div 5 \frac{1}{2}$

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Solution

Step 1 : Solve LHS
$2 \frac{1}{2} \div 4 \frac{1}{2} = \frac{5}{2} \div \frac{9}{2} = \frac{5}{2} \times \frac{2}{9} = \frac{5}{9}$
Step 2 : Solve RHS
$3 \frac{1}{2} \div 5 \frac{1}{2} = \frac{7}{2} \div \frac{11}{2} = \frac{7}{2} \times \frac{2}{11} = \frac{7}{11}$
Step 3 : On comparing LHS and RHS, we get
LCM of $(9, 11) = 99$
$\frac{5}{9} = \frac{5 \times 11}{9 \times 11} = \frac{55}{99}$
And
$\frac{7}{11} = \frac{7 \times 9}{11 \times 9} = \frac{63}{99}$
Here, $55 < 63$
LHS $<$ RHS
Hence, $2 \frac{1}{2} \div 4 \frac{1}{2} < 3 \frac{1}{2} \div 5 \frac{1}{2}$

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Put <or> in box212÷412312÷512

Step 1 : Solve LHS212÷412=52÷92=52×29=59Step 2 : Solve RHS312÷512=72÷112=72×211=711Step 3 : On comparing LHS and RHS, we getLCM of 9,11=9959=5×119×11=5599And 711=7×911×9=6399Here, 55<63LHS < RHSHence, 212÷412<312÷512

Put $< or >$ in box

$2 \frac{1}{2} \div 4 \frac{1}{2} () 3 \frac{1}{2} \div 5 \frac{1}{2}$