Question

how to solve improper fractions​

Answer 1

Answer:

How to solve improper fractions.

Suppose you want to convert an improper fraction to mixed fraction

$\frac{5}{2}$

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. 

So it is

$2 \frac{1}{2}$

So we need to prove that whether improper fraction is converted to mixed fraction correctly or not.

$2 \frac{1}{2} \\ \\ = \frac{2 \times 2 + 1}{2} \\ \\ = \frac{4 + 1}{2} \\ \\ = \frac{5}{2}$

So it's correct.

Suppose you want to add two mixed fractions,

so let's see an example

$\frac{5}{2} + \frac{7}{2}$

So in this case denominator is same.

so simply add the numbers

$\frac{5 + 7}{2} \\ \\ = \frac{12}{2}$

As they are even and multiple of 2

simplify

$\frac{ \cancel{12} \: \: ^{6} }{ \cancel2}$

=6

But if they can't be simplified then keep it as that only.

Now,

$\frac{7}{3} + \frac{8}{5}$

In this case denominators are not same

So first we need to find lcm of the denominator that is 15

$\frac{7 \times 5}{3 \times 5} \\ \\ = \frac{35}{15}$

$\frac{8 \times 3}{5 \times 3} \\ \\ = \frac{24}{15}$

$= \frac{35 + 24}{15} \\ \\ = \frac{59}{15}$

So it is the answer.

I hope it helps you from my side

Answer 2

Answer:

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.