--- title: "Solving problems with fractions (age 7+)" description: "Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison" canonical: https://lightmysky.com/learn/mathematics/solving-problems-with-fractions-age-7-mt_SsLWS_APM7 source: https://lightmysky.com/learn/mathematics/solving-problems-with-fractions-age-7-mt_SsLWS_APM7.md retrieved: 2026-09-12 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Solving problems with fractions (age 7+) Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison Subject: Mathematics · Area: Fractions · Ages 7 to 8 Page: https://lightmysky.com/learn/mathematics/solving-problems-with-fractions-age-7-mt_SsLWS_APM7 ## Ready when they can - Solve a word problem requiring finding a fraction of a quantity - Solve a problem that requires comparing or ordering fractions - Choose and apply appropriate fraction knowledge to a multi-step problem ## Lesson: Solving problems with fractions You already know how to find a fraction of a number, add fractions, and tell which fraction is bigger. Real problems often mix these skills together, so you need to pick the right tool for each step. *(drawing: 20 stars shared equally into 5 groups. Each group gets 4 stars, so 1/5 of 20 is 4.)* **Example.** Priya ate 3/10 of a cake. Tom ate 2/5 of the same size cake. To compare, change 2/5 into tenths: 2/5 is the same as 4/10. Since 4/10 is more than 3/10, Tom ate more cake. **Tip.** When two fractions have different bottom numbers, change them so the bottom numbers match. Then it is easy to compare or add them. **Recap.** Break a fraction problem into steps: work out the fraction of the amount first, match up the bottom numbers if you need to, then compare or combine. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Adding and subtracting fractions with the same bottom number within one whole](https://lightmysky.com/learn/mathematics/adding-and-subtracting-fractions-with-the-same-bottom-number-within-one-whole-mt_a1FdAsRKOF) - [Comparing fractions](https://lightmysky.com/learn/mathematics/comparing-fractions-mt_IfEgu0X449) - [Fractions of a group of objects](https://lightmysky.com/learn/mathematics/fractions-of-a-group-of-objects-mt_k2WE0-22-4) - [Tenths](https://lightmysky.com/learn/mathematics/tenths-mt_YzM5goBctT) ## Opens up - [Comparing fractions (age 8+)](https://lightmysky.com/learn/mathematics/comparing-fractions-age-8-mt_HnKbuCliNS)