Converting Decimals to Fractions Worksheet - Free Printable

To solve this problem, we need to convert each decimal into a fraction and then simplify it.

Here is the step-by-step logic:
1. Write as a fraction: Look at the last digit of the decimal.
* If it ends in the tenths place (like 0.5), put the number over 10.
* If it ends in the hundredths place (like 0.25), put the number over 100.
* If it ends in the thousandths place (like 0.125), put the number over 1000.
2. Simplify: Divide the top and bottom numbers by the same number until you can't divide them evenly anymore.

Let's go through each row:

Row 2) 0.85
* Write as fraction: $\frac{85}{100}$
* Simplify: Both end in 5 or 0, so divide by 5.
* $85 \div 5 = 17$
* $100 \div 5 = 20$
* Result: $\frac{17}{20}$

Row 3) 0.75
* Write as fraction: $\frac{75}{100}$
* Simplify: Divide by 25 (or divide by 5 twice).
* $75 \div 25 = 3$
* $100 \div 25 = 4$
* Result: $\frac{3}{4}$

Row 4) 0.2
* Write as fraction: $\frac{2}{10}$
* Simplify: Divide by 2.
* $2 \div 2 = 1$
* $10 \div 2 = 5$
* Result: $\frac{1}{5}$

Row 5) 0.35
* Write as fraction: $\frac{35}{100}$
* Simplify: Divide by 5.
* $35 \div 5 = 7$
* $100 \div 5 = 20$
* Result: $\frac{7}{20}$

Row 6) 0.5
* Write as fraction: $\frac{5}{10}$
* Simplify: Divide by 5.
* $5 \div 5 = 1$
* $10 \div 5 = 2$
* Result: $\frac{1}{2}$

Row 7) 0.74
* Write as fraction: $\frac{74}{100}$
* Simplify: Both are even, so divide by 2.
* $74 \div 2 = 37$
* $100 \div 2 = 50$
* Result: $\frac{37}{50}$

Row 8) 0.58
* Write as fraction: $\frac{58}{100}$
* Simplify: Both are even, so divide by 2.
* $58 \div 2 = 29$
* $100 \div 2 = 50$
* Result: $\frac{29}{50}$

Row 9) 0.44
* Write as fraction: $\frac{44}{100}$
* Simplify: Both are even, divide by 2 $\rightarrow$ $\frac{22}{50}$. Still even, divide by 2 again.
* $22 \div 2 = 11$
* $50 \div 2 = 25$
* Result: $\frac{11}{25}$

Row 10) 0.97
* Write as fraction: $\frac{97}{100}$
* Simplify: 97 is a prime number and does not share any factors with 100. It cannot be simplified.
* Result: $\frac{97}{100}$

Row 11) 0.78
* Write as fraction: $\frac{78}{100}$
* Simplify: Both are even, so divide by 2.
* $78 \div 2 = 39$
* $100 \div 2 = 50$
* Result: $\frac{39}{50}$

Row 12) 0.25
* Write as fraction: $\frac{25}{100}$
* Simplify: Divide by 25.
* $25 \div 25 = 1$
* $100 \div 25 = 4$
* Result: $\frac{1}{4}$

Row 13) 0.33
* Write as fraction: $\frac{33}{100}$
* Simplify: 33 is divisible by 3 and 11, but 100 is not. They share no common factors.
* Result: $\frac{33}{100}$

Row 14) 0.42
* Write as fraction: $\frac{42}{100}$
* Simplify: Both are even, so divide by 2.
* $42 \div 2 = 21$
* $100 \div 2 = 50$
* Result: $\frac{21}{50}$

Final Answer:
2) Decimal Fraction: 85/100, Simplest Form: 17/20
3) Decimal Fraction: 75/100, Simplest Form: 3/4
4) Decimal Fraction: 2/10, Simplest Form: 1/5
5) Decimal Fraction: 35/100, Simplest Form: 7/20
6) Decimal Fraction: 5/10, Simplest Form: 1/2
7) Decimal Fraction: 74/100, Simplest Form: 37/50
8) Decimal Fraction: 58/100, Simplest Form: 29/50
9) Decimal Fraction: 44/100, Simplest Form: 11/25
10) Decimal Fraction: 97/100, Simplest Form: 97/100
11) Decimal Fraction: 78/100, Simplest Form: 39/50
12) Decimal Fraction: 25/100, Simplest Form: 1/4
13) Decimal Fraction: 33/100, Simplest Form: 33/100
14) Decimal Fraction: 42/100, Simplest Form: 21/50