15) 854095 ÷ 3140 = ? (B) 270 3/240 a) 275 3/628 c) 272 3/628 d) 250 5/630
Answers
Option C : 272 (3/628) is the correct equivalent mixed form of the given fraction
STEP 1 : Simplifying the given fraction :
- The numerator of the fraction given is : 854095
- The denominator of the fraction given is : 3140
- Both the numerator and the denominator are multiples of 5, thus factoring and simplifying it as :
= 854095 / 3140
= ( 5 * 170819 ) / ( 5 * 628 )
= 170819/628
STEP 2 : Converting to Mixed Fraction :
- The simplified fraction is an improper fraction as the numerator i.e. 170819 is greater than the denominator i.e. 628.
- So, the conversion is as :
So, we first find the integer quotient by dividing the given fraction :
= 170819 / 628
= 272.0047
≈ 272 (the nearest small integer )
The remainder thus can be found as :
= 170819 - (272 * 628 )
= 170819 - 170816
= 3
So, according to the above conversion logic, the corresponding mixed form of the given fraction is :
Hence, Option C is correct with the whole number as 272, the numerator as 3, and the denominator as 628.
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