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Mathematics

Find the missing numbers:

(i) 3 glasses of juice shared equally among 4 friends is the same as _ glasses of juice shared equally among 8 friends.

So, 34=6538\dfrac{3}{4} = \dfrac{\boxed{\phantom{653}}}{8}

(ii) 4 kg of sugar divided equally in 3 bags is the same as 12 kg of sugar divided equally in _ bags.

So, 43=12653\dfrac{4}{3} = \dfrac{12}{\boxed{\phantom{653}}}

(iii) 7 gulabjamuns divided among 5 children is the same as gulabjamuns divided among children.

So, 75=653653\dfrac{7}{5} = \dfrac{\boxed{\phantom{653}}}{\boxed{\phantom{653}}}

Fractions

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Answer

(i) 34=6538\dfrac{3}{4} = \dfrac{\boxed{\phantom{653}}}{8}

To get 8 from 4, we have to multiply 4 by 2.

So, multiply numerator and denominator by 2.

34=3×24×2=68.\Rightarrow \dfrac{3}{4} = \dfrac{3 \times 2}{4 \times 2} = \dfrac{6}{8}.

Hence, the missing number is 6 i.e. 6 glasses of juice shared equally among 8 friends.

(ii) 43=12653\dfrac{4}{3} = \dfrac{12}{\boxed{\phantom{653}}}

To get 12 from 4, we have to multiply 4 by 3.

So, multiply numerator and denominator by 3.

43=4×33×3=129.\Rightarrow \dfrac{4}{3} = \dfrac{4 \times 3}{3 \times 3} = \dfrac{12}{9}.

Hence, the missing number is 9 i.e. 12 kg of sugar divided equally in 9 bags.

(iii) 75=653653\dfrac{7}{5} = \dfrac{\boxed{\phantom{653}}}{\boxed{\phantom{653}}}

We can multiply both numerator and denominator by 2.

75=7×25×2=1410.\Rightarrow \dfrac{7}{5} = \dfrac{7 \times 2}{5 \times 2} = \dfrac{14}{10}.

Hence, the missing numbers are 14 and 10 i.e. 14 gulabjamuns divided among 10 children.

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