Question

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Answer 1

Question:

$\dfrac{1}{4}\times2\dfrac{1}{2}\times\dfrac{4}{5}\times3\dfrac{1}{2}\times\dfrac{4}{5}$

Solution:

$\frac{1}{4}\times2\dfrac{1}{2}\times\dfrac{4}{5}\times3\dfrac{1}{2}\times\dfrac{4}{5}$

After converting each fraction into improper fraction, we get:

$\dfrac{1}{4}\times\dfrac{5}{2}\times\dfrac{4}{5}\times\dfrac{7}{2}\times\dfrac{4}{5}$

After cancelling numbers, we get:

$\dfrac{1}{\not4}\times\dfrac{\not5}{\not2}\times\dfrac{\not4}{5}\times\dfrac{7}{\not2}\times\dfrac{\not4}{\not5}$

So the final answer is :

$=\dfrac{7}{5}$

$=1\dfrac{2}{5}$

Extra Information:

• Fraction is a number which is in the form of $\dfrac{a}{b}$, where a and b are natural numbers.

Eg - $\dfrac{1}{2},\: \dfrac{2}{5}$

• There are eight types of fractions. They are:

1. Proper Fractions are fractions $\dfrac{a}{b}$, where a < b.
2. Improper Fractions are fractions $\dfrac{a}{b}$, where a > b.
3. Mixed Fractions are combination of whole number and proper fraction.
4. Decimal Fractions are fractions whose denominator is $10^n$, where n > 1.
5. Fractions except decimal are called Valgur Fractions.
6. Like Fractions are fractions having same denominators.
7. Unlike Fractions are fractions having different denominators.
8. Unit Fractions are fractions having 1 as numerator.