Printable fractions worksheet for practicing addition of tenths and hundredths.

To solve these problems, we need to add fractions with denominators of 10 and 100. The easiest way is to make the denominators the same. Since 10 goes into 100 easily, we can change any fraction with a denominator of 10 into an equivalent fraction with a denominator of 100.

Rule: To change a fraction from tenths ($/10$) to hundredths ($/100$), multiply both the top number (numerator) and the bottom number (denominator) by 10.
* Example: $\frac{3}{10} = \frac{3 \times 10}{10 \times 10} = \frac{30}{100}$

Once both fractions have 100 on the bottom, you just add the top numbers together.

Here are the step-by-step solutions for each problem:

1 a. $\frac{12}{10} + \frac{54}{100}$
* Convert $\frac{12}{10}$ to hundredths: $12 \times 10 = 120$, so it becomes $\frac{120}{100}$.
* Add: $\frac{120}{100} + \frac{54}{100} = \frac{174}{100}$

1 b. $\frac{1}{10} + \frac{77}{100}$
* Convert $\frac{1}{10}$ to hundredths: $1 \times 10 = 10$, so it becomes $\frac{10}{100}$.
* Add: $\frac{10}{100} + \frac{77}{100} = \frac{87}{100}$

2 a. $\frac{8}{10} + \frac{40}{100}$
* Convert $\frac{8}{10}$ to hundredths: $8 \times 10 = 80$, so it becomes $\frac{80}{100}$.
* Add: $\frac{80}{100} + \frac{40}{100} = \frac{120}{100}$

2 b. $\frac{3}{100} + \frac{7}{10}$
* Convert $\frac{7}{10}$ to hundredths: $7 \times 10 = 70$, so it becomes $\frac{70}{100}$.
* Add: $\frac{3}{100} + \frac{70}{100} = \frac{73}{100}$

3 a. $\frac{26}{100} + \frac{8}{10}$
* Convert $\frac{8}{10}$ to hundredths: $8 \times 10 = 80$, so it becomes $\frac{80}{100}$.
* Add: $\frac{26}{100} + \frac{80}{100} = \frac{106}{100}$

3 b. $\frac{8}{10} + \frac{32}{100}$
* Convert $\frac{8}{10}$ to hundredths: $8 \times 10 = 80$, so it becomes $\frac{80}{100}$.
* Add: $\frac{80}{100} + \frac{32}{100} = \frac{112}{100}$

4 a. $\frac{95}{100} + \frac{3}{10}$
* Convert $\frac{3}{10}$ to hundredths: $3 \times 10 = 30$, so it becomes $\frac{30}{100}$.
* Add: $\frac{95}{100} + \frac{30}{100} = \frac{125}{100}$

4 b. $\frac{48}{100} + \frac{11}{10}$
* Convert $\frac{11}{10}$ to hundredths: $11 \times 10 = 110$, so it becomes $\frac{110}{100}$.
* Add: $\frac{48}{100} + \frac{110}{100} = \frac{158}{100}$

5 a. $\frac{67}{100} + \frac{7}{10}$
* Convert $\frac{7}{10}$ to hundredths: $7 \times 10 = 70$, so it becomes $\frac{70}{100}$.
* Add: $\frac{67}{100} + \frac{70}{100} = \frac{137}{100}$

5 b. $\frac{9}{10} + \frac{38}{100}$
* Convert $\frac{9}{10}$ to hundredths: $9 \times 10 = 90$, so it becomes $\frac{90}{100}$.
* Add: $\frac{90}{100} + \frac{38}{100} = \frac{128}{100}$

6 a. $\frac{91}{100} + \frac{4}{10}$
* Convert $\frac{4}{10}$ to hundredths: $4 \times 10 = 40$, so it becomes $\frac{40}{100}$.
* Add: $\frac{91}{100} + \frac{40}{100} = \frac{131}{100}$

6 b. $\frac{8}{10} + \frac{70}{100}$
* Convert $\frac{8}{10}$ to hundredths: $8 \times 10 = 80$, so it becomes $\frac{80}{100}$.
* Add: $\frac{80}{100} + \frac{70}{100} = \frac{150}{100}$

Final Answer:
1 a. 174/100
1 b. 87/100
2 a. 120/100
2 b. 73/100
3 a. 106/100
3 b. 112/100
4 a. 125/100
4 b. 158/100
5 a. 137/100
5 b. 128/100
6 a. 131/100
6 b. 150/100