/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 50 Convert to a mixed numeral. $$... [FREE SOLUTION] | 91影视

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Chapter 3: Problem 50

Convert to a mixed numeral. $$ \frac{467}{100} $$

Short Answer

Expert verified
4 \(\frac{67}{100}\)

Step by step solution

01

- Determine the Whole Number Part

To convert the improper fraction \(\frac{467}{100}\) to a mixed numeral, first divide the numerator by the denominator. Perform the division \(\frac{467}{100} = 4.67\), so the whole number part is 4.
02

- Find the Fractional Part

Next, find the remainder of the division to determine the fractional part. Multiply the whole number part by the denominator: \(4 \times 100 = 400\). Subtract this product from the original numerator: \(467 - 400 = 67\). The fractional part of the mixed numeral is \(\frac{67}{100}\).
03

- Combine the Whole Number and Fractional Parts

Combine the whole number part and the fractional part to write the mixed numeral. The final mixed numeral is \[4 \frac{67}{100} \].

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Key Concepts

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

Improper Fractions
An improper fraction is a type of fraction where the numerator, which is the number above the fraction line, is equal to or larger than the denominator, the number below the fraction line. This means you have more parts than a whole. For instance, in \(\frac{467}{100}\), the numerator is 467 and the denominator is 100. Since 467 is greater than 100, it is an improper fraction. Converting improper fractions to mixed numerals makes them easier to understand and visualize.
Division
Division is an essential step in converting improper fractions to mixed numerals. To start, you divide the numerator by the denominator. For example, with \(\frac{467}{100}\), you perform the division \(\frac{467}{100} = 4.67\). Here, 467 divided by 100 gives a quotient of 4 with a remainder of 67 (since \(4 \times 100 = 400\)). Knowing how to divide and understand remainders is crucial for this process. The quotient becomes the whole number part, and the remainder helps you find the fractional part.
Fractions
Fractions represent parts of a whole and consist of a numerator and a denominator. When converting improper fractions to mixed numerals, you use both whole numbers and fractions. After performing the division, the remainder becomes the numerator of the fractional part. In our example of \(\frac{467}{100}\), the remainder 67 is the new numerator. The denominator remains the same, which is 100. Combining the whole number and the fractional part, we get the mixed numeral \(\text{4 } \frac{67}{100}\). Understanding fractions is essential to grasp these conversions fully.

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Most popular questions from this chapter

Estimate each of the following by estimating each mixed numeral as a whole number or as a mixed numeral where the fraction part is \(\frac{1}{2}\) and by estimating each fraction as \(0, \frac{1}{2},\) or 1 . $$ 2 \frac{7}{8} $$

Find the average of \(10 \frac{2}{3}\) and \(24 \frac{5}{6}\).

Simplify. $$ \frac{1}{2}-\left(\frac{1}{2}\right)^{2}+\left(\frac{1}{2}\right)^{3} $$

Simplify. Classify the given numbers as prime, composite, or neither. \([2.1 \mathrm{c}]\) $$ 1,5,7,9,14,23,43 $$

Estimate each of the following by estimating each mixed numeral as a whole number or as a mixed numeral where the fraction part is \(\frac{1}{2}\) and by estimating each fraction as \(0, \frac{1}{2},\) or 1 . $$ 12 \frac{5}{6} $$
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