Simplification of Fractions and Decimals
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SIMPLIFICATION
1. $\frac{1}{2} + \frac{3}{4} = $
2. $\frac{1}{2} - \frac{3}{4} = $
3. $\frac{1}{2} \times \frac{3}{4} = $
4. $\frac{1}{2} \div \frac{3}{4} = $
5. $1 \times \frac{2}{3} = $
6. $1 - \frac{2}{3} = $
7. $1 \times \frac{2}{3} = $
8. $1 \div \frac{2}{3} = $
9. $\frac{1}{2} \div 3 = $
10. $1 \div \frac{3}{2} = $
11. $\frac{1}{2} \times 3 = $
12. $\frac{1}{2} + 3 = $
13. $1 - \frac{2}{3} = $
14. $\frac{1}{2} - 3 = $
15. $\frac{1}{2} \times \underline{\quad\quad} = \frac{3}{4}$
16. $\frac{1}{2} \div \underline{\quad\quad} = \frac{3}{4}$
17. $\frac{1}{2} \times \underline{\quad\quad} = 3$
18. $\frac{1}{2} \div \underline{\quad\quad} = 3$
19. $0.1 + 1.2 + 12.3 + 123.4 + 1.23 + 1234.5 = $
20. $0.456 + 10 = $
21. $0.456 + 100 = $
22. $0.456 + 1000 = $
23. $0.456 - 10 = $
24. $0.456 - 100 = $
25. $0.456 - 1000 = $
26. $0.456 \times 10 = $
27. $0.456 \times 100 = $
28. $0.456 \times 1000 = $
29. $7.89 \div 10 = $
30. $7.89 \div 100 = $
31. $7.89 \div 1000 = $
32. $0.1 \times 0.2 = $
33. $0.1 \times 11.1 = $
34. $0.1 \times 1.11 = $
35. $24.8 \div 8 = $
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Step by Step Written Solution
Let's work through question number nineteen from this worksheet, where we need to find the sum of several decimal numbers.
Decimal Addition
To add decimals correctly, we should align the decimal points vertically. Let's arrange our numbers in a column format.
Notice that some numbers have one decimal place while one has two. To make addition easier, we can add a trailing zero to fill the gaps so all numbers have two decimal places.
Now, let's sum the hundredths place. Zero plus zero plus zero plus zero plus three plus zero equals three.
Next, we sum the tenths place. One plus two is three, plus three is six, plus four is ten, plus two is twelve, plus five is seventeen. We write down the seven and carry over the one to the ones place.
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