Question

rani and neelam have bookshelves of the same size rani shelf is 6 by 7 full of books and neelam shelf is 3 by 5 full . whose bookshelves is more full and what fraction? ​

Answer 1

Step-by-step explanation:

ok we need to compare which is greater

$\frac{6}{7} \: or \: \frac{3}{5}$

for comparison of fractions the denominators should be same for denominators to be same we need to take L.C.M so let's do it

The L.C.M of 7,5 is 35

now

we gotta L.C.M

now check the denominators

to get same denominators we need to multiply and divide the fraction by (the number we get when we divide L.C.M by original denominator)

so let's do it

$in \: first \: fraction \: \: \: \frac{lcm}{original \: denominator \: } is \: \frac{35}{7} = 5 \\ there fore \: we \: need \: to \: \\multiply \: and \: divide \: the \: fraction \: by \: 5$

let's do it

$\frac{6}{7} \times \frac{5}{5}$

$\frac{30}{35}$

this is first fraction

$\frac{30}{35}$

now do the same for send fraction

that is LCM/original denominator=7

now multiply and divide the fraction by 7

that is 3x7/5x7

21/35

now both fractions have same denominators so we we can compare them easily by observing the numerators which numerator will be greater that fraction is the greatest in among the two fractions

30/35>21/35

there fore

6/7>3/5

therefore Rani bookshelf izmo occupied

answer is completed

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