Question

ramu bought 4*3/7m of rope and raju bought 3*3/4m of rope. who bought more rope and by how many meters?​

Answer 1

$\huge{\sf{\underline{\underline{\red{Solution}}}}}$

Given:

• Ramu bought - $4 {\frac{3}{7}} m$
• Raju bought - $3 {\frac{3}{4}} m$

To find:

Who bought more rope and by how many meters.

Solution:

Converting mixed fraction into improper fraction:

• $4 \frac{3}{7} = \frac{31}{7}$
• $3 \frac{3}{4} = \frac{15}{4}$

LCM of the denominators 4 and 7 is 28.

$→\frac{31 \times 4}{7 \times 4}$

$→\frac{15 \times 7}{4 \times 7}$

$→\frac{124}{28}$

$→\frac{105}{28}$

Now, since,

$\frac{124}{28} > \frac{105}{28}$ and,

$\frac{124 - 105}{28} = \frac{19}{28}$

Hence, Ramu bought more rope by 19/28m.

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Hope it helps! :)