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Question

Simplify :( 34÷12-13) × 67


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Solution

Step 1 : Simplifying the first bracket

34÷12-13

Step 2 : First do division

34÷12

Step 3: Write the reciprocal of the second fraction ( that one you want to divide by ) with the sign of multiplication (×) and do multiplication

34×21 =3×24×1=64

34÷ 12-13 =64- 13

Step 4: The bottom numbers are different, To make it same take the L.C.M of 4 and 3

L.C.M of 4 and 3 is 12

Step 5: Convert both the fraction into equivalent like fractions with their L.C.M as common denominator

64=6×34×3=1812

13=1×43×4=412

Step 6: Subtract the numerators and put the answer over the denominator

1812 -412=18-412 =1412

( 34÷12-13) × 67 =1412 ×67

Step 7: Do multiplication

1412×67 =14×612×7 =8484=1

Hence, ( 34÷12-13) × 67 =1.


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