Question

Reduce the following to its simplest form a)2.25 to 4.95 b)4500ml to 2.5 litres c)7days to 36 hours

Need full explanation

Answer 1

Answer:

a)$\frac{5}{11}$
b) $\frac{9}{5}$
c) $\frac{14}{3}$ or$4\frac{2}{3}$

Step-by-step explanation:

Question: a) 2.25 to 4.95

Solution: To convert to the simplest form and to make it easier, multiply 2.25 and 4.95 by 100 in the following way:

⇒$\frac{2.25*100}{4.95*100}$$= \frac{22500}{49500}$
⇒ $\frac{22500}{49500}$ now, the zeroes will be canceled which will result in the number $\frac{225}{495}$
⇒ $\frac{225}{495}$ when DIVIDED by 15 becomes $\frac{15}{33}$ now this number when divided by 3  becomes $\frac{5}{11}$
∴ The answer is $\frac{5}{11}$
The "division" which we have done here is called as "simplification"!
It is easier to do simplification if you have learnt the tables by heart

Question: b) 4500 ml to 2.5 L
Solution :
⇒ Step 1: First make the units same!                                      ∵ 1 L = 1000 ml
                   2.5 L = 2500 ml

⇒ Step 2: Now, simplification is to be done as follows:

$\frac{4500}{2500}$ = $\frac{45}{25}$ [ zeroes are canceled]
$\frac{45}{25} = \frac{9}{5}$
∴ The answer is $\frac{9}{5}$

Question: c) 7 days to 36 hours                                      ∵ I day = 24 hours
⇒ Step 1: Make the units same!
              7 x 24 = 168

⇒ Step 2: Simplify as follows:
        $\frac{168}{36}$   = $\frac{14}{3}$

∴The answer is $\frac{14}{3}$ or $4\frac{2}{3}$

Note: Remember that while simplifying, both numerator and denominator must be DIVIDED by the same number!

Hope this helps!