Rachel painted 3-7 th of her room and her sister painted 2-7 th of the room- What fraction of the room did the both of them paint in all-

The correct option is B 5/7Fraction of the room painted by Rachel = 3/7 Fraction of the room painted by Rachel's sister =2/7 ∴ Fraction of the room the both of ...

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Byju's Answer

Standard VI

Mathematics

Addition of like Fractions

Rachel painte...

Question

Rachel painted ${\frac{3}{7}}^{th}$ of her room and her sister painted ${\frac{2}{7}}^{th}$ of the room. What fraction of the room did the both of them paint in all?

\frac{1}{7}

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\frac{5}{7}

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\frac{3}{7}

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\frac{6}{7}

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Solution

The correct option is B $\frac{5}{7}$
Fraction of the room painted by Rachel = $\frac{3}{7}$
Fraction of the room painted by Rachel's sister = $\frac{2}{7}$
$∴$ Fraction of the room the both of them painted in all = $\frac{3}{7} + \frac{2}{7}$
$= \frac{3 + 2}{7} = \frac{5}{7}$

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Rachel painted 37 th of her room and her sister painted 27 th of the room. What fraction of the room did the both of them paint in all?

The correct option is B 57Fraction of the room painted by Rachel = 37 Fraction of the room painted by Rachel's sister =27 ∴ Fraction of the room the both of them painted in all = 37+27 =3+27=57

Rachel painted ${\frac{3}{7}}^{th}$ of her room and her sister painted ${\frac{2}{7}}^{th}$ of the room. What fraction of the room did the both of them paint in all?

The correct option is B $\frac{5}{7}$
Fraction of the room painted by Rachel = $\frac{3}{7}$
Fraction of the room painted by Rachel's sister = $\frac{2}{7}$
$∴$ Fraction of the room the both of them painted in all = $\frac{3}{7} + \frac{2}{7}$
$= \frac{3 + 2}{7} = \frac{5}{7}$