Question

Divide. Write the quotient as a mixed number. $$4257 \div 23$$

   Divide. Write the quotient as a mixed number.
$$4257 \div 23$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 4, Problem 82

Instant Answer

Solved by Expert Michelle Nguyen

07/27/2020

Step 1

This is done by dividing 4257 by 23. The result is 185 with a remainder of 2. Show more…

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Divide. Write the quotient as a mixed number. $$4257 \div 23$$

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Key Concepts

Division Algorithm

The division algorithm is a fundamental concept in arithmetic where a dividend is divided by a divisor to yield a quotient and a remainder. It establishes that any integer division can be expressed in the form: dividend = (divisor × quotient) + remainder, where the remainder is non-negative and less than the divisor.

Mixed Number

A mixed number is a way of expressing a number that contains both an integer part and a fractional part. It is often used to represent the result of a division where the dividend does not evenly divide by the divisor, transforming an improper fraction into a more easily interpretable form.

Remainder

The remainder is the portion of the dividend that is left over after division when the dividend is not a multiple of the divisor. In the context of converting a division result to a mixed number, the remainder is used as the numerator of the fractional part, with the divisor as the denominator.

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