find 1/2 of ( 2 1/2 × 1/4 )
Answers
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…
Given:
How do I solve 1/2 +1/4 step wise?
Solution:
In order to add two fractions with different denominators, one or all denominator must convert (be the same).
Two methods:
Take the denominators and multiply them together, ie 2 x 4 = 8.
The numbers will change ,but the faction will be the same 1/2 = 4/8 and 1/4 = 2/8.
Now you can add : 4/8 + 2/8 = 6/8 which is equal to 3/4.
By observing the problem 1/2 is equal to 2/4. You now have both fractions with the same denominator.
Now add: 2/4 + 1/4 = 3/4
Answer:
1/2(2[1/2]1/4)
1/2(1[1/4])
1/2(1/4)
Hence answer is
1/8