--- title: "Converting tenths to hundredths" description: "Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 + 4/100 = 34/100)" canonical: https://lightmysky.com/learn/mathematics/converting-tenths-to-hundredths-mt_NaqEP8xDhZ source: https://lightmysky.com/learn/mathematics/converting-tenths-to-hundredths-mt_NaqEP8xDhZ.md retrieved: 2026-10-19 --- > **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`. # Converting tenths to hundredths Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 + 4/100 = 34/100) Subject: Mathematics · Area: Fractions · Ages 9 to 10 Page: https://lightmysky.com/learn/mathematics/converting-tenths-to-hundredths-mt_NaqEP8xDhZ ## Ready when they can - Rewrite 7/10 as 70/100 - Calculate 3/10 + 4/100 = 34/100 - Explain why 5/10 = 50/100 using a hundredths grid ## Lesson: Turning tenths into hundredths You already know that a tenth is 1 out of 10 equal parts, like 3/10. A hundredth is 1 out of 100 equal parts. Cut each tenth into 10 smaller pieces and you get 100 pieces in all. So every tenth is worth ten hundredths: multiply the top number and the bottom number by 10. *(drawing: This bar has 10 strips, and 3 are shaded: 3/10. Cut each strip into 10 tiny pieces and you get 30 shaded pieces out of 100, so 3/10 = 30/100.)* *(drawing: A hundredths grid has 10 rows and 10 columns, 100 small squares in all. Shading 3 whole columns covers 30 of those squares, the same amount as 3/10.)* **Example.** Zara has 3/10 of a pizza, and her friend gives her 4/100 more. First she changes 3/10 into hundredths: 3/10 = 30/100. Then she adds: 30/100 + 4/100 = 34/100. Zara now has 34/100 of the pizza. Why can you add the top numbers like that? Because 30/100 and 4/100 are both counting the same size of piece: little hundredths. 30 of them and 4 more of them make 34 of them, so the answer is 34/100. The bottom number stays 100, since the pieces did not change size. If the bottom numbers do not match yet, change the tenths into hundredths first. **Recap.** Every tenth equals ten hundredths, so turn tenths into hundredths first, then add the top numbers together. ## Practice 17 questions on this page, each with its working shown. ## Needs first - [Adding fractions (same denominator)](https://lightmysky.com/learn/mathematics/adding-fractions-same-denominator-mt_CBHwluE6Lp) - [Hundredths (age 8+)](https://lightmysky.com/learn/mathematics/hundredths-age-8-mt_doX1BhmFgk) - [Equivalent fractions (age 9+)](https://lightmysky.com/learn/mathematics/equivalent-fractions-age-9-mt_ebPelt-qAl) ## Opens up - [Decimals for Tenths & Hundredths](https://lightmysky.com/learn/mathematics/decimals-for-tenths-and-hundredths-mt_Vi4Vo5xs_g)