Math, asked by 7397317272, 2 months ago

15) 854095 ÷ 3140 = ? (B) 270 3/240 a) 275 3/628 c) 272 3/628 d) 250 5/630​

Answers

Answered by ChitranjanMahajan
0

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 :

                  \frac{x}{y}  = a\frac{b}{y}\\ ( x = ay + b )

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 :

       \frac{854095}{3140} = 272\frac{3}{628}

Hence, Option C is correct with the whole number as 272, the numerator as 3, and the denominator as 628.

To learn more about Mixed Fractions, visit

https://brainly.in/question/22915571

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