Mathematics · Year 5

Fractions, Decimals, and Percentages

🔢 MathematicsHard18 min
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🍕 you and two . You eat 3/8 of one and your 1/4 of the . How much has been ? To that, you need to add but their are ! , , and are that all say the thing. A "50% off", a "0.5 ", a "1/2" — all . you will to between these and to add and with .

🔑 Key . The is the of a it you how many the is into. The is the top it you how many of those you have. An has a than or to its , such as 7/4. A a and a , such as 1 and 3/4. These two the and you can between them at any .

: The "" from the , "to ". used over 3,500 ago to they even had a for 2/3!

⚙️ To add or , the be the . When they are , the the that both into . For , to 3/8 + 1/4, that 4 is a of 8, so 8 is the . 1/4 into by and both by 2, 2/8. Now add: 3/8 + 2/8 = 5/8. The as 8; only the are .

Fractions must share the same denominator before you can add them.

📐 Let us try a : 2/3 + 3/4. is a of the other. of 3: 3, 6, 9, 12 of 4: 4, 8, 12The is 12. 2/3 top and by 4to get 8/12. 3/4 top and by 3to get 9/12. Add the : 8 + 9 = 17. So the is 17/12. Because 17 is than 12, this is an . it: 12/12 = 1 , with 5/12 over. : 1 and 5/12.

Tip: both the AND the by the . This the its does not , only the way it . of it as in on the .

🧩 Put these steps in the correct order to solve 1/2 + 2/3. Drag them into the right sequence.

  1. Convert to a mixed number: 1 and 1/6
  2. Write the answer as the improper fraction 7/6
  3. Add the numerators: 3 + 4 = 7
  4. Convert 1/2 to 3/6 and 2/3 to 4/6
  5. Find the lowest common denominator: 6
  6. Identify the two denominators: 2 and 3

🔄 Now for between , , and . These are of the . To a to a , the by the . So 3/4 3 ÷ 4 = 0.75. To a to a , by 100. So 0.75 × 100 = 75%. To go , a by 100 to get a : 30% ÷ 100 = 0.3. Then 0.3 as 3/10. this it .

FractionDecimalPercentage
1/20.550%
1/40.2525%
3/40.7575%
1/50.220%
1/100.110%
1/1000.011%
2/50.440%
3/50.660%
Common equivalents worth memorising 💡

🔗 Match each fraction to its equivalent decimal or percentage. 🔗

  • 3/4

  • 1/5

  • 7/10

  • 1/4

  • 3/5

🧮 the way as a , then the . : 5/61/4. of 6: 6, 12 of 4: 4, 8, 12 is 12. 5/6 to 10/12 ( by 2). 1/4 to 3/12 ( by 3). : 10/123/12 = 7/12. : is 7/12 ? 7 is and does not into 12, so yes, the is in its .

out! A very is or the as as the . For , 1/2 + 1/3 does NOT 2/5. The you the of each that does not when you . Only the are .

🗂️ Sort each value into the correct category: less than one half, equal to one half, or greater than one half. 🗂️

  • 3/8

  • 50%

  • 0.75

  • 0.5

  • 2/5

  • 7/10

  • 4/8

  • 0.49

🌟 You have big : to add and , to and , and between , , and . These in from to in a . : , , and are the . the and the they . Now with the !

Quiz time! 📝

Fractions, Decimals, and Percentages — Quick Check ✅

Question 1 of 5

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What is 1/3 + 1/6?

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