2 Mark Question

Question 512 Marks

Solve:
$3\frac{2}{7}+\frac{1}{7}-2\frac{3}{7}$

Answer

The given fractions are:
$3\frac{2}{7}+\frac{1}{7}-2\frac{3}{7}=\frac{23}{7}+\frac{1}{7}-\frac{17}{7}$
$=\frac{23+1-17}{7}$
$=\frac{7}{7}=1$
Hence the answer is 1

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Question 522 Marks

Shikhas has three frocks that she wears when playing. The material is good, but the colours are faded. Her mother buys some blue dye and uses it on two of the frocks. What fraction of all of the Shikha play frocks did her mother dye?

Answer

Total frocks shikha has = 3
Number of frocks dyed by shikha’s mother = 2
Fraction of the dyed frocks = 23
Therefore, shikha’s mother dyed 23 of shikha’s frocks.

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Question 532 Marks

Compare the following fractions using the symbol > or <:
$\frac{2}{3}$ and $\frac{8}{12}$

Answer

$\frac{8}{12}=\frac{2\times2\times2}{2\times2\times3}=\frac{2}{3}$ therefore, $\frac{2}{3}=\frac{8}{12}$

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Question 542 Marks

Amit was given $\frac{5}{7}$ of a bucket of oranges. What fraction of oranges was left in the basket?

Answer

Fraction of oranges given to amit $=\frac{5}{7}$
Fraction of oranges left in the basket $=1-\frac{5}{7}$
$=\frac{7-5}{7}$
$=\frac{2}{7}$
Therefore, fraction of oranges left in the basket is $\frac{2}{7}$

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Question 552 Marks

Write each fraction. Arrange them in ascending and descending order using correct sign '<', '=', '>' between the fractions:

Answer

Ascending order:

Descending order:

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Question 562 Marks

Solve:
$\frac{16}{7}-\frac{5}{7}+\frac{9}{7}$

Answer

The given fractions are:
$\frac{16}{7}-\frac{5}{7}+\frac{9}{7}$
$=\frac{16-5+9}{7}$
$=\frac{20}{7}$
Hence the answer is $\frac{20}{7}$

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Question 572 Marks

Write each fraction. Arrange them in ascending and descending order using correct sign '<', '=', '>' between the fractions:

Answer

Ascending order:

Descending order:

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Question 582 Marks

Check whether the given fractions are equivalent:$\frac{2}{7},\frac{16}{42}$

Answer

$\frac{2}{7}\times\frac{8}{8}=\frac{16}{56}$
Hence, the given fraction are not equivalent.

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Question 592 Marks

Solve:
$\frac{4}{13}+\frac{2}{13}+\frac{1}{13}$

Answer

The given fractions are:
$\frac{4}{13}+\frac{2}{13}+\frac{1}{13}$
$=\frac{4+2+1}{13}$
$=\frac{7}{13}$
Hence the answer is $\frac{7}{13}$

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Question 602 Marks

The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing to its simplest form:
$\frac{12}{75}$

Answer

$\frac{12}{75}$
HCF of 12 & 75 is 3
Divide both the numerator & denominator by the HCF of 12 & 75
$\frac{12\div3}{75\div3}=\frac{4}{25}$

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Question 612 Marks

Solve:
$2\frac{1}{3}-1\frac{2}{3}+4\frac{1}{3}$

Answer

The given fractions are:
$2\frac{1}{3}-1\frac{2}{3}+4\frac{1}{3}=\frac{7}{3}-\frac{5}{3}+\frac{13}{3}$
$=\frac{7-5+13}{3}$
$=\frac{15}{3}=5$
Hence the answer is 5

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Question 622 Marks

Reduce $\frac{84}{98}$ to its lowest terms.

Answer

$\frac{84}{98}=\frac{84\div2}{98\div2}$
$=\frac{42}{49}$
$=\frac{42\div7}{49\div7}$
$=\frac{6}{7}$
Hence, the lowest term of $\frac{84}{98}$ is $\frac{6}{7}.$

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Question 632 Marks

Find the equivalent fraction of $\frac{3}{5}$, having:Denominator 40

Answer

Consider the denominator = 40
$\frac{3}{5}=\frac{....}{40}$
As 5 × 8 = 40, we will multiply both the numerator & denominator by 8, we have
$\Rightarrow\frac{3}{5}\times\frac{8}{8}=\frac{24}{40}$

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Question 642 Marks

The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing to its simplest form:
$\frac{4}{25}$

Answer

$\frac{4}{25}$
HCF of 4 & 25 is 1
Divide both the numerator & denominator by the HCF of 4 & 25
$\frac{4\div1}{25\div1}=\frac{4}{25}$

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Question 652 Marks

Find the fraction equivalent of $\frac{35}{42}$, having:Denominator 18

Answer

Firstly, we will reduce $\frac{35}{42}$ into the lowest term.
Now, we will divide both the numerator & denominator by the HCFs of 35 & 42.
$\Rightarrow\frac{35\div7}{42\div7}=\frac{5}{6}$
$\frac{5}{6}=\frac{}{18}$
Consider the denominator $= 18$
As 6 × 3 = 18, we will multiply both the numerator & denominator by 3.
$\Rightarrow\frac{5\ \times\ 3}{6\ \times\ 3}=\frac{15}{18}$

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Maths 2 Mark Question