How can we express the remainder in the fraction format for the division of 64 by 30?

To express the remainder as a fraction when dividing 64 by 30, we start by performing the division.

When you divide 64 by 30, it goes 2 times (because 30 x 2 = 60), leaving a remainder. To find the remainder, you subtract:

  • Remainder = 64 - 60 = 4

Now, we can express the division in terms of a fraction. The full expression can be written as:

  • 64 ÷ 30 = 2 + (Remainder / Divisor)
  • In our case, this becomes 64 ÷ 30 = 2 + (4 / 30)

So we can convert the remainder into a fraction as follows:

  • 2 + (4 / 30)

We can simplify the fraction 4/30 further:

  • 4 / 30 = 2 / 15 (by dividing both the numerator and the denominator by 2)

Thus, the final expression representing the division of 64 by 30, including the remainder in fraction form, is:

  • 64 ÷ 30 = 2 + (2 / 15)

Therefore, if you wish to represent the remainder from dividing 64 by 30 as a fraction, it can be accurately written as 2 2/15.

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