Mathematics
Grade 5
15 min
Complete the fraction multiplication sentence
Complete the fraction multiplication sentence
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1
Introduction & Learning Objectives
Learning Objectives
Identify the missing factor or product in a fraction multiplication sentence.
Multiply two proper fractions to find their product.
Multiply a whole number by a fraction.
Multiply a mixed number by a fraction or another mixed number.
Simplify fraction products to their simplest form.
Apply the commutative property to fraction multiplication sentences.
Solve real-world problems involving completing fraction multiplication sentences.
Ever wonder how much of a recipe you'd make if you only used half of the ingredients? 🍰 Let's find out how fractions help us multiply parts of things!
In this lesson, you'll learn how to complete fraction multiplication sentences, whether you're finding the product or a missing factor. Understanding this...
2
Key Concepts & Vocabulary
TermDefinitionExample
FractionA number representing a part of a whole, written as a numerator over a denominator.3/4 (three parts out of four equal parts)
NumeratorThe top number in a fraction, indicating how many parts are being considered.In 2/5, '2' is the numerator.
DenominatorThe bottom number in a fraction, indicating the total number of equal parts in the whole.In 2/5, '5' is the denominator.
ProductThe result obtained when two or more numbers are multiplied.In 1/2 × 1/3 = 1/6, '1/6' is the product.
Simplest Form (or Reduced Form)A fraction is in simplest form when its numerator and denominator have no common factors other than 1.2/4 simplifies to 1/2.
Improper FractionA fraction where the numerator is greater than or equal to the denominator.7/4
Mixed...
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Core Formulas
Multiplying Fractions
$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$
To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
Multiplying a Whole Number by a Fraction
$n \times \frac{a}{b} = \frac{n}{1} \times \frac{a}{b} = \frac{n \times a}{1 \times b}$
To multiply a whole number by a fraction, first write the whole number as a fraction with a denominator of 1. Then, multiply the numerators and denominators as usual.
Simplifying Fractions
$\frac{a}{b} = \frac{a \div \text{GCF}}{b \div \text{GCF}}$
To simplify a fraction, divide both the numerator and the denominator by their Greatest Common Factor (GCF). This should be done at the end of multiplication,...
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Challenging
Complete the sentence: $\frac{6}{7} \times ? = \frac{3}{7}$
A.1/2
B.2
C.18/49
D.3/1
Challenging
A rectangular park is $3\frac{1}{2}$ km long and $2\frac{1}{4}$ km wide. A playground takes up $\frac{1}{3}$ of the park's total area. Which sentence finds the area of the playground in square km?
A.(3\frac{1}{2} + 2\frac{1}{4}) \times \frac{1}{3} = ?
B.(3\frac{1}{2} \times 2\frac{1}{4}) \times \frac{1}{3} = ?
C.(3\frac{1}{2} \times 2\frac{1}{4}) - \frac{1}{3} = ?
D.3\frac{1}{2} \times \frac{1}{3} = ?
Challenging
When you multiply a whole number greater than 1 by the fraction $\frac{3}{5}$, which of the following is always true about the product?
A.The product is greater than the whole number.
B.The product is a whole number.
C.The product is less than the whole number.
D.The product is equal to 1.
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