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Chapter 4: Problem 80

Divide. Write the quotient as a mixed number. $$7213 \div 8$$

Short Answer

Expert verified
901 5/8

Step by step solution

01

Perform the division

Divide 7213 by 8. Perform the long division to get the quotient and remainder.
02

Identify the quotient and remainder

From the long division, the quotient is 901 and the remainder is 5.
03

Write the quotient as a mixed number

Combine the quotient and remainder to write the mixed number as 901 and 5/8. Therefore, 7213 divided by 8 is 901 5/8.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

mixed numbers
Mixed numbers are a combination of a whole number and a fraction. They are often used to present a more intuitive representation of numbers that are not whole. For instance, 901 5/8 is a mixed number where 901 is the whole number and 5/8 is the fractional part. To convert from improper fractions (where the numerator is larger than the denominator) to mixed numbers, you divide the numerator by the denominator to get the whole number (the quotient) and use the remainder as your new numerator over the original denominator.
remainder
In division, the remainder is what is left over after dividing a number. For example, when dividing 7213 by 8, you perform the division and get a quotient of 901. The remainder is the portion that couldn鈥檛 be evenly divided by 8, which, in this case, is 5. You often represent this remainder as a fraction of the divisor when writing the final answer as a mixed number. Here, 5/8 is the fractional part of our mixed number, indicating that 5 is the leftover part after dividing by 8.
quotient
The quotient is the result of division, representing how many times the divisor fits into the dividend. In our example, dividing 7213 by 8 gives a quotient of 901. This means 8 fits into 7213 a total of 901 times with some left over (which is captured by the remainder). When writing the answer to a division problem as a mixed number, the quotient forms the whole number part. Thus, the final mixed number in our example is 901 5/8.

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Most popular questions from this chapter

For Exercises 95鈥�102, simplify. $$\left|-\frac{3}{4}\right|$$

Divide. Write the quotient as a mixed number. $$921 \div 4$$

Convert the mixed number to an improper fraction. $$-3 \frac{1}{5}$$

Convert the improper fraction to a mixed number. $$\frac{67}{12}$$

Plot the fraction on the number line. $$-\frac{5}{6}$$
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