Chapter 4: Fractions and Decimals

Ans: Add the numbers

$4.55 + 9.73 = 14.28$

Ans: Subtract the numbers

$8.76 - 2.68 = 6.08$

Ans: $50 \times 50 = 2500$ paisa

   $\Rightarrow {\text{ Rs}}{\text{. }}\dfrac{{2500}}{{100}} = {\text{ Rs}}{\text{.}}\dfrac{{2500 \div 100}}{{100 \div 100}}$

   $= {\text{ Rs}}{\text{. }}25$ 

The value of 50 coins of 50 paisa $=$ Rs. 25

Ans: 3 Hundredths $= 0.03$

3 tenths$= 0.3$

3 Hundredths $ + 3$ tenths $= 0.33$

In Each of the Questions 45 to 65, state Whether the Statement is True or False

Ans: The given statement is False 

The correct statement is fractions with the same denominator are called like fractions.

Ans: The statement is False

Because the fraction is in lowest form is

$\dfrac{{18}}{{39}} \Rightarrow \dfrac{{18 \div 3}}{{39 \div 3}} = \dfrac{6}{{13}}$

Ans: The statement is True

It is divide by same number

$\dfrac{{45}}{{117}} \Rightarrow \dfrac{{45 \div 3}}{{117 \div 3}} = \dfrac{{15}}{{39}}$

So, Both are equivalent.

Ans: The statement is True

Let, two fraction $\dfrac{{17}}{9}$ and $\dfrac{{41}}{9}$

$\dfrac{{17}}{9} + \dfrac{{41}}{9} = \dfrac{{58}}{9}$

Explanation,

$\Rightarrow \dfrac{{17}}{9} + \dfrac{{41}}{9} = \dfrac{{17 + 41}}{9} = \dfrac{{58}}{9}$, 

This is a fraction.

Ans: The statement is False

Let, two fraction $\dfrac{{24}}{{14}}$ and $\dfrac{{67}}{{14}}$

$\dfrac{{24}}{{14}} - \dfrac{{67}}{{14}} =  - \dfrac{{43}}{{14}}$

Explanation, 

$\Rightarrow \dfrac{{24}}{{14}} - \dfrac{{67}}{{14}} = \dfrac{{24 - 67}}{{14}} =  - \dfrac{{43}}{{14}}$, 

which is not a fraction.

Ans: The statement is True