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Multiplying Fractions: Definition and Example | EDU.COM

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Multiplying Fractions: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Multiplying FractionsMultiplying Fractions: Definition and ExampleTable of ContentsDefinition of Multiplying Fractions

Multiplying fractions involves finding the product of a fraction with another number (whole or fractional). The process is straightforward compared to addition and subtraction, as it doesn't require a common denominator. To multiply fractions, we simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. The resulting product may be a fraction or a whole number, which can then be simplified to its lowest form.

There are several types of fraction multiplication to consider. When multiplying a fraction by another fraction, we multiply numerators and denominators separately. For a fraction multiplied by a whole number, we multiply the numerator by the whole number while keeping the denominator unchanged. Multiplication of fractions can also be understood as repeated addition (such as 5×145 \times \frac{1}{4}5×41​ being 14\frac{1}{4}41​ added five times) or through visual models where we find a fraction of another fraction (like finding 25\frac{2}{5}52​ of 34\frac{3}{4}43​).

Examples of Multiplying Fractions Example 1: Multiplying Two Fractions Problem:

Solve: 46×32\frac{4}{6} \times \frac{3}{2}64​×23​

Step-by-step solution: Step 1, identify the numerators and denominators in both fractions: First fraction: numerator = 4, denominator = 6 Second fraction: numerator = 3, denominator = 2 Step 2, multiply the numerators together: 4 × 3 = 12 Step 3, multiply the denominators together: 6 × 2 = 12 Step 4, write the resulting fraction: 4×36×2=1212\frac{4 \times 3}{6 \times 2} = \frac{12}{12}6×24×3​=1212​ Step 5, simplify the fraction to its lowest form: 1212=1\frac{12}{12} = 11212​=1 Example 2: Multiplying a Whole Number with a Fraction Problem:

Solve: 12×3412 \times \frac{3}{4}12×43​

Step-by-step solution: Step 1, remember that when multiplying a whole number by a fraction, you multiply the numerator by the whole number and keep the denominator the same. Step 2, multiply the numerator by the whole number: 12 × 3 = 36 Step 3, write the resulting fraction: 12×34=12×34=36412 \times \frac{3}{4} = \frac{12 \times 3}{4} = \frac{36}{4}12×43​=412×3​=436​ Step 4, simplify the fraction: 364=9\frac{36}{4} = 9436​=9 Example 3: A Real-World Application of Fraction Multiplication Problem:

A group of 3 friends equally divided a pizza among themselves. Later 3 more friends joined them. So, they decided to give half of their share to the new joiners. What fraction of pizza did each one of them get?

Step-by-step solution: Step 1, determine what fraction of the pizza each of the original 3 friends received: Each friend initially got 13\frac{1}{3}31​ of the pizza Step 2, after 3 more friends joined, each original friend gave away half of their share: Each original friend now has 12×13=16\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}21​×31​=61​ of the pizza Step 3, determine what the new friends received: Each new friend also received 16\frac{1}{6}61​ of the pizza (since the original friends shared equally) Step 4, confirm that all 6 friends now have equal portions: Each person (whether original or new) has 16\frac{1}{6}61​ of the pizza We can verify this by counting: 6×16=16 \times \frac{1}{6} = 16×61​=1 whole pizza Comments(8)MRMs. RodriguezNovember 6, 2025I've used this multiplying fractions def for my students. The examples really helped them grasp the concept. Great resource!

MMagicianKimNovember 4, 2025I've used this glossary page to teach multiplying fractions. It's super clear with examples! Really helped my students grasp the concept.

NNatureLover95September 17, 2025I’ve been using this page to help my kids understand multiplying fractions, and the step-by-step examples make it so much easier! It’s a great resource for breaking things down simply.

MCMs. CarterSeptember 10, 2025I’ve used the multiplying fractions examples from this page to help my kids with homework—it’s so clear and easy to follow! They finally get it, and we even practiced with real-world problems. Thanks!

NNatureLover75August 27, 2025This definition and examples made multiplying fractions so much easier for my kids to grasp! We loved the step-by-step approach—it’s perfect for visual learners. I’ve bookmarked this page for our homework sessions!

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