Multiplying Mixed Numbers

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Questions and Answers

What is the first step to multiply the mixed numbers 2 and 4/5 and 1 and 2/3?

Convert both mixed numbers to decimals
Convert both mixed numbers to improper fractions (correct)
Multiply the whole numbers together first
Add the mixed numbers together

When converting 2 and 4/5 to an improper fraction, what is the calculation performed?

(2 * 4 + 5) / 5
(2 * 5 + 4) / 5 (correct)
(2 + 4) / 5
(2 * 3 + 4) / 5

What is the result of multiplying the improper fractions 14/5 and 5/3?

15/70
70/15 (correct)
19/15
70/8

After simplification, what is the simplified form of the fraction 70/15?

<p>14/3 (B)</p> Signup and view all the answers

What is the final result when converting the improper fraction 14/3 back to a mixed number?

<p>4 and 2/3 (A)</p> Signup and view all the answers

Flashcards

Mixed Number

A number that includes a whole number part and a fractional part.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

Converting a Mixed Number to an Improper Fraction

Changing a mixed number into an improper fraction.

Converting an Improper Fraction to a Mixed Number

Changing an improper fraction into a mixed number.

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Multiplying Fractions

Multiplying two fractions by multiplying the numerators together and the denominators together.

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Study Notes

Problem Setup

The problem requires multiplying two mixed numbers: 2 and 4/5 and 1 and 2/3.

Step-by-Step Solution

Convert the mixed numbers to improper fractions:
- 2 and 4/5 = (2 * 5 + 4)/5 = 14/5
- 1 and 2/3 = (1 * 3 + 2)/3 = 5/3
Multiply the improper fractions:
- (14/5) * (5/3) = (14 * 5) / (5 * 3)
Simplify the fraction:
- 70/15 = (70 ÷ 5) / (15 ÷ 5) = 14/3
Convert the improper fraction back to a mixed number:
- 14/3 = 4 and 2/3

Answer

The solution to 2 and 4/5 times 1 and 2/3 is 4 and 2/3.

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Description

This quiz focuses on the process of multiplying mixed numbers by converting them into improper fractions. Through step-by-step solutions, you will learn how to simplify the product and convert it back into a mixed number. Enhance your understanding of fractional arithmetic with practical examples.