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What is the remainder expressed as a fraction 157 divided by 5 =31

User Frobbit
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Final answer:

The remainder when 157 is divided by 5 is 2. To express this as a fraction of the divisor, the remainder fraction is ⅓.

Step-by-step explanation:

The question asks to determine the remainder when 157 is divided by 5. To find the remainder of the division, we can use the division algorithm, which states that a number can be expressed as the product of the divisor and the quotient plus the remainder. In mathematical terms, this is expressed as:

a = bq + r

where 'a' is the dividend, 'b' is the divisor, 'q' is the quotient, and 'r' is the remainder.

For the given problem:

  • Dividend (a) = 157
  • Divisor (b) = 5
  • Quotient (q) = 31 (as provided)

Using the division algorithm: 157 = 5 × 31 + r

When we calculate 5 × 31, we get 155. Now, we subtract this number from the dividend:

157 - 155 = 2

Therefore, the remainder (r) is 2, and as a fraction of the divisor it is ⅓.

User Chrisz
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