Mathematics
Grade5
Easy

Question

4 over 9 equals ? over 72

  1. A - 24
  2. B - 28
  3. C - 32
  4. D - 36

hintHint:

On multiplying both the numerator and denominator with the same number, the value of the fraction doesn’t change.
We need to find the equivalent fraction of the given fraction.  To do so, we need to find out the multiplication factor. Let’s divide the denominator of the right-hand side fraction with the left-hand side fraction, we get 72/9=8. This means that the whole fraction needs to be multiplied with 8 in order to find the equivalent fraction. Let’s multiply 4 x 8=32. Hence, we’ve got our required answer, i.e., 32.

The correct answer is: C - 32


    Step 1:
    4 over 9 equals ? over 72
    Since these are equivalent fractions multiply both numerator and denominator of 4/9 by 8 to get.
    fraction numerator 4 cross times 8 over denominator 9 cross times 8 end fraction equals 32 over 72 equals ? over 72
    Step 2:
    So, 32 is the answer

    An equivalent fraction means that each of the fractions might have different numerators and denominators but have the same exact value when reduced to their simplest form.
    For example, 5/15 and 2/6 have then same value, 1/3 when reduced to their simplest form.
    Simplest form means that the highest common factor of the denominator and numerator is 1.
    Common factor is that number by which 2 or more numbers can be divided without leaving a remainder

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