Mathematics Grade 6 15 min

Multiply two fractions

Multiply two fractions

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Introduction & Learning Objectives

Learning Objectives Identify the numerator and denominator in any given fraction. Explain the process of multiplying two proper fractions. Accurately calculate the product of two proper fractions. Accurately calculate the product of two improper fractions. Simplify a fraction to its lowest terms after multiplication. Apply fraction multiplication to solve simple real-world problems. Ever wondered how much of a cake is left if you eat half of a quarter? 🍰 Let's find out how fractions work together! In this lesson, you'll learn the simple steps to multiply any two fractions. Understanding this skill is crucial for solving many everyday math problems and building a strong foundation for future math topics. Real-World Applications Scaling recipes (e.g., making ha...
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Key Concepts & Vocabulary

TermDefinitionExample FractionA number representing a part of a whole, written as a numerator over a denominator.3/4 represents three out of four equal parts. NumeratorThe top number in a fraction, indicating how many parts are being considered.In the fraction 3/4, '3' is the numerator. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In the fraction 3/4, '4' is the denominator. ProductThe result obtained when two or more numbers are multiplied together.The product of 2 and 3 is 6. Simplify (or Reduce)To express a fraction in its lowest terms by dividing both the numerator and the denominator by their greatest common factor.The fraction 4/8 simplifies to 1/2. Greatest Common Factor (GCF)The largest number...
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Core Formulas

Multiplication of Numerators $ ext{Numerator}_1 imes ext{Numerator}_2$ To multiply two fractions, the first step is to multiply their numerators together. This result becomes the numerator of your product. Multiplication of Denominators $ ext{Denominator}_1 imes ext{Denominator}_2$ After multiplying the numerators, multiply the denominators of the fractions together. This result becomes the denominator of your product. Simplifying Fractions $\frac{\text{Numerator}}{\text{Denominator}} = \frac{\text{Numerator} \div \text{GCF}}{\text{Denominator} \div \text{GCF}}$ Always simplify your final answer to its lowest terms by dividing both the numerator and the denominator by their Greatest Common Factor (GCF).

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Sample Practice Questions

Challenging
A rectangular garden is 5/2 meters long and 4/3 meters wide. What is the area of the garden in simplest form?
A.9/5 square meters
B.20/6 square meters
C.10/6 square meters
D.10/3 square meters
Challenging
What is the simplified product of 1/2 × 2/3 × 3/4?
A.1/4
B.6/9
C.6/24
D.1/3
Challenging
Which of the following fractions, when multiplied by 3/4, results in a product of 3/8?
A.1/4
B.3/2
C.1/2
D.2/3

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