Worksheets: Convert fractions to decimals (denominator: 10/100 ... - Free Printable

The task involves converting fractions to decimals, where the denominators are 10, 100, or 1000. This is a straightforward process because these denominators directly relate to decimal places:

- A denominator of 10 means the fraction converts to a decimal with one digit after the decimal point.
- A denominator of 100 means the fraction converts to a decimal with two digits after the decimal point.
- A denominator of 1000 means the fraction converts to a decimal with three digits after the decimal point.

Step-by-Step Solution:

#### Row 1:
1. $\frac{5}{100}$: The denominator is 100, so the decimal has two digits after the decimal point.
$$
\frac{5}{100} = 0.05
$$

2. $2\frac{3}{10}$: This is a mixed number. Convert the fractional part first:
$$
\frac{3}{10} = 0.3
$$
Add this to the whole number part:
$$
2 + 0.3 = 2.3
$$

3. $\frac{105}{100}$: The denominator is 100, so the decimal has two digits after the decimal point.
$$
\frac{105}{100} = 1.05
$$

#### Row 2:
4. $\frac{7}{10}$: The denominator is 10, so the decimal has one digit after the decimal point.
$$
\frac{7}{10} = 0.7
$$

5. $3\frac{44}{100}$: This is a mixed number. Convert the fractional part first:
$$
\frac{44}{100} = 0.44
$$
Add this to the whole number part:
$$
3 + 0.44 = 3.44
$$

6. $\frac{45}{10}$: The denominator is 10, so the decimal has one digit after the decimal point.
$$
\frac{45}{10} = 4.5
$$

#### Row 3:
7. $\frac{135}{1000}$: The denominator is 1000, so the decimal has three digits after the decimal point.
$$
\frac{135}{1000} = 0.135
$$

8. $\frac{284}{1000}$: The denominator is 1000, so the decimal has three digits after the decimal point.
$$
\frac{284}{1000} = 0.284
$$

9. $\frac{3005}{1000}$: The denominator is 1000, so the decimal has three digits after the decimal point.
$$
\frac{3005}{1000} = 3.005
$$

#### Row 4:
10. $\frac{47}{100}$: The denominator is 100, so the decimal has two digits after the decimal point.
$$
\frac{47}{100} = 0.47
$$

11. $10\frac{67}{100}$: This is a mixed number. Convert the fractional part first:
$$
\frac{67}{100} = 0.67
$$
Add this to the whole number part:
$$
10 + 0.67 = 10.67
$$

12. $\frac{576}{100}$: The denominator is 100, so the decimal has two digits after the decimal point.
$$
\frac{576}{100} = 5.76
$$

#### Row 5:
13. $\frac{2}{10}$: The denominator is 10, so the decimal has one digit after the decimal point.
$$
\frac{2}{10} = 0.2
$$

14. $1\frac{987}{1000}$: This is a mixed number. Convert the fractional part first:
$$
\frac{987}{1000} = 0.987
$$
Add this to the whole number part:
$$
1 + 0.987 = 1.987
$$

15. $\frac{883}{10}$: The denominator is 10, so the decimal has one digit after the decimal point.
$$
\frac{883}{10} = 88.3
$$

#### Row 6:
16. $\frac{22}{100}$: The denominator is 100, so the decimal has two digits after the decimal point.
$$
\frac{22}{100} = 0.22
$$

17. $5\frac{1}{100}$: This is a mixed number. Convert the fractional part first:
$$
\frac{1}{100} = 0.01
$$
Add this to the whole number part:
$$
5 + 0.01 = 5.01
$$

18. $\frac{4321}{1000}$: The denominator is 1000, so the decimal has three digits after the decimal point.
$$
\frac{4321}{1000} = 4.321
$$

Final Answer:

$$
\boxed{
\begin{array}{ccc}
0.05 & 2.3 & 1.05 \\
0.7 & 3.44 & 4.5 \\
0.135 & 0.284 & 3.005 \\
0.47 & 10.67 & 5.76 \\
0.2 & 1.987 & 88.3 \\
0.22 & 5.01 & 4.321 \\
\end{array}
}
$$