Question

Simplify Simplify 1 2/3 + 6 1/4​

Answer 1

Answer:

34

1/2 + 1/4

or,(2+1)/4

or, Ans 3/4

Need stepwise detailed explanation….???

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Method 1 :- LCM METHOD

STEP 1- Take LCM of 2 and 4,you will get 4

Step 2- divide this 4 by denominator of fraction 1 i.e 1/2 you will get…4/2=2

step 3 - multiply this 2 with the numerator of fraction 1 i.e 1/2 you will get…2 * 1 = 2

step 4- Similarly follow step 2 and 3 for 2nd fraction. you will get…4÷4=1 ….then 1*1=1

step 5-Now add result of step 3 and 4 i.e 2+ 1

step 6 -divide step 5 by LCM.i.e 3/4

3/4 will be your answer.

Method 2 - Decimal method

Step 1- Convert both fractions into fraction

i.e 1/2 = 0.5

and, 1/4 =0.25

Step 2- Add 0.5 and 0.25

i.e 0.5 + 0.25 = 0.75

Step 3- convert the decimal into fraction now.. i.e 0.75 = 75/100

step 4- Convert 75/100 in simplest form ,you will get 3/4.

So you got your answer…i.e 3/4

Hope you understood…

Thanks for reading…

Answer 2

Answer:

$\frac{231}{12}=\frac{77}{4}=19\frac{1}{4}$

Step-by-step explanation:

LCM of 3 and 4=12

$\frac{12}{3}$x$\frac{4}{4}=\frac{48}{12}$

$\frac{61}{4}$x$\frac{3}{3}=\frac{183}{12}$

$\frac{48+183}{12}=\frac{231}{12}$

$\frac{231}{12}=\frac{77}{4}=19\frac{1}{4}$