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

A fraction represents parts of a whole and consists of two essential components. The numerator, positioned above the line, indicates how many equal parts of the whole are taken, while the denominator, located below the line, represents the total number of equal parts the whole is divided into. For instance, if a cake is divided into 888 equal pieces, each piece represents 18\frac{1}{8}81​ of the whole cake. Similarly, if 333 out of 555 children are girls, the fraction of girls would be 35\frac{3}{5}53​.

Fractions can be categorized into two main types based on their denominators. Like fractions are those that share the same denominator, such as 25\frac{2}{5}52​, 45\frac{4}{5}54​, and 35\frac{3}{5}53​. Since the denominator remains constant, these fractions represent parts of a whole divided into the same number of equal sections. Conversely, unlike fractions have different denominators, such as 25\frac{2}{5}52​, 43\frac{4}{3}34​, and 12\frac{1}{2}21​. With unlike fractions, the number of equal parts the whole is divided into varies across each fraction.

Examples of Like Fractions and Unlike Fractions Example 1: Adding Like Fractions with Same Denominator Problem:

Kim had 38\frac{3}{8}83​ of a pizza and Sherry had 48\frac{4}{8}84​ of the pizza. What fraction of the pizza did they have altogether?

Step-by-step solution: Step 1, identify what we know: Kim has 38\frac{3}{8}83​ of the pizza and Sherry has 48\frac{4}{8}84​ of the pizza. Step 2, notice that these are like fractions with the same denominator (888), which means each person's portion represents parts of the same whole divided into 888 equal pieces. Step 3, when adding like fractions, we can simply add the numerators while keeping the denominator the same: 38+48=3+48=78\frac{3}{8} + \frac{4}{8} = \frac{3 + 4}{8} = \frac{7}{8}83​+84​=83+4​=87​ Step 4, Kim and Sherry together had 78\frac{7}{8}87​ of the pizza. Example 2: Comparing Unlike Fractions with Different Denominators Problem:

Compare 718\frac{7}{18}187​ and 521\frac{5}{21}215​.

Step-by-step solution: Step 1, observe that these are unlike fractions since they have different denominators (181818 and 212121). Step 2, we can use cross multiplication to compare these fractions:

Multiply the numerator of the first fraction by the denominator of the second fraction: 7×21=1477 \times 21 = 1477×21=147

Multiply the numerator of the second fraction by the denominator of the first fraction: 5×18=905 \times 18 = 905×18=90

Step 3, compare these products: 147>90147 > 90147>90 Step 4, since 7×21>5×187 \times 21 > 5 \times 187×21>5×18, we can conclude that: 718>521\frac{7}{18} > \frac{5}{21}187​>215​ Step 5, think about it visually: Even though 181818 and 212121 are different denominators, cross multiplication helps us compare these fractions on equal terms. Example 3: Subtracting Unlike Fractions Using Common Denominator Problem:

Subtract 29\frac{2}{9}92​ from 415\frac{4}{15}154​.

Step-by-step solution: Step 1, recognize that we need to find 415−29\frac{4}{15} - \frac{2}{9}154​−92​. Step 2, since we have unlike fractions with different denominators (15 and 9), we need to convert them to like fractions with a common denominator. Step 3, find the Least Common Multiple (LCM) of 151515 and 999: The LCM of 151515 and 999 is 454545. Step 4, convert each fraction to an equivalent fraction with denominator 454545:

For 415\frac{4}{15}154​: Multiply both numerator and denominator by 333

415=4×315×3=1245\frac{4}{15} = \frac{4 \times 3}{15 \times 3} = \frac{12}{45}154​=15×34×3​=4512​

For 29\frac{2}{9}92​: Multiply both numerator and denominator by 555

29=2×59×5=1045\frac{2}{9} = \frac{2 \times 5}{9 \times 5} = \frac{10}{45}92​=9×52×5​=4510​ Step 5, subtract the numerators while keeping the denominator the same: 415−29=1245−1045=12−1045=245\frac{4}{15} - \frac{2}{9} = \frac{12}{45} - \frac{10}{45} = \frac{12 - 10}{45} = \frac{2}{45}154​−92​=4512​−4510​=4512−10​=452​ Step 6, double-check your work: The difference between these fractions is quite small (245\frac{2}{45}452​), which makes sense given that the original fractions were fairly close in value. Comments(9)PPlantParentHankNovember 6, 2025I've used this glossary page to teach like and unlike fractions. It's super helpful with clear defs and examples. Thanks!

SSculptorOscarNovember 4, 2025I've been struggling to explain like and unlike fractions to my students. This page's defs and examples made it super easy! Thanks!

AActorOscarNovember 4, 2025I've used this glossary page to teach like and unlike fractions. It's super helpful with clear defs and examples! Really aids students' learning.

MCMs. CarterSeptember 17, 2025This page was a lifesaver! I used the examples to help my 4th grader understand adding like fractions, and it finally clicked for her. The visual explanations were super helpful too!

MCMs. CarterSeptember 10, 2025This glossary page was a lifesaver for explaining fractions to my kids! The examples made it so easy for them to grasp the difference between like and unlike fractions. Highly recommend for parents!

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