Math, asked by Dixant2789, 1 year ago

how to solve mixed fraction

Answers

Answered by sabiq112
4
1.Multiple the whole number part by the fraction's denominator.
2.Add that to the numerator.
3.Then write the result on top of the denominator.
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Answered by vaidehi1419
5

 \huge{\red{\boxed{\colorbox{pink}{Answer}}}}

It's very easy...

Just read it carefully...

You would understand it...

Addition:

 \small 2 \frac{3}{4}  + 3 \frac{2}{5}  =  \frac{4 \times 2 + 3}{4}  +  \frac{5 \times 3 + 2}{5}

Multiply denominator 4 by 2 and then + it with the numerator 3...

Do this same with the other mixed fraction...

=  \frac{11}{4} +  \frac{17}{5} =  \frac{11 \times 5 + 17 \times 4}{4 \times 5}

Now, Just multiply the numerator 11 with the other fraction's denominator 5 and then + it with the other fraction...

Do this same with the other fraction....

Then, Here's the Final Result:

  =  \frac{55 + 68}{20}  =  \frac{123}{20}

Real way to solve it....

 \small 2 \frac{3}{4}  + 3 \frac{2}{5}  =  \frac{4 \times 2 + 3}{4}  +  \frac{5 \times 3 + 2}{5}  =  \frac{11}{4} +  \frac{17}{5} \\   =  \frac{11 \times 5 + 17 \times 4}{4 \times 5}  =  \frac{55 + 68}{20} \\   =  \frac{123}{20}

Subtraction:

 1 \frac{2}{3}  -  2\frac{1}{4} =  \frac{3 \times 1 + 2}{3}  - \frac{4 \times 2 + 1}{4}

Multiply denominator 3 with 1 and + it with 2....

Do the same with another mixed fraction...

 =  \frac{5}{3}  -  \frac{9}{4}  =  \frac{5 \times 4 + 9 \times 3}{3 \times 4}

Now, Just multiply the numerator 5 with the other fraction's denominator 4 and then - it with the other fraction....

Do this same with the other fraction....

Then, Here's the Final Result:

 =  \frac{20 - 27}{12}  =   \frac{ - 7}{12}

Real way to solve it:

\small 1 \frac{2}{3}  -  2\frac{1}{4} =  \frac{3 \times 1 + 2}{3}  - \frac{4 \times 2 + 1}{4}  \\  \small =  \frac{5}{3}  -  \frac{9}{4}  =  \frac{5 \times 4 + 9 \times 3}{3 \times 4}  \\ \small  =  \frac{20 - 27}{12}  =   \frac{ - 7}{12}

Division:

3 \frac{2}{2}  \div 4 \frac{1}{3}  =  \frac{2 \times 3 + 2}{2}  \div  \frac{3 \times 4 + 1}{3}

Multiply denominator 2 by 3 and then + it with the numerator 2

Do this same with the other mixed fraction...

 =  \frac{8}{2}  \div  \frac{13}{3}  =  \frac{8}{2}  \times  \frac{3}{13}

Now, Here's a twist you have to do multiplicative Inverse with the second fraction which is 13/3 as 3/13 and then you have to multiply both numerators and denominators on there own place without using multiplicative Inverse again and then you have to go to 8's and 2's first divisible in order to go to the final answer and then you have to multiply them...

Then, Here's the Final Result:

  =  \frac{8 \times 3}{2 \times 13}  -  \frac{4 \times 3}{1 \times 13}  =  \frac{12}{13}

Real way to solve it:

3 \frac{2}{2}  \div 4 \frac{1}{3}  =  \frac{2 \times 3 + 2}{2}  \div  \frac{3 \times 4 + 1}{3}  =  \frac{8}{2}  \div  \frac{13}{3}  =  \frac{8}{2}  \times  \frac{3}{13}  =  \frac{8 \times 3}{2 \times 13}  -  \frac{4 \times 3}{1 \times 13}  =  \frac{12}{13}

Sorry maybe I am not a Good Explainer but I have tried my best...

I have gaved an Example of mixed fraction solved in Addition, Subtraction and Division....

✴️Hope it helps✴️

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