To solve these problems, we are adding fractions that already have the same bottom number (denominator). When the denominators are the same, you just add the top numbers (numerators) together and keep the bottom number the same.
Here is the step-by-step solution for each problem:
1. $\frac{4}{11} + \frac{6}{11}$
* Add the tops: $4 + 6 = 10$
* Keep the bottom: $11$
* Result: $\frac{10}{11}$
2. $\frac{12}{40} + \frac{11}{40}$
* Add the tops: $12 + 11 = 23$
* Keep the bottom: $40$
* Result: $\frac{23}{40}$
3. $\frac{12}{33} + \frac{9}{33}$
* Add the tops: $12 + 9 = 21$
* Keep the bottom: $33$
* Initial Result: $\frac{21}{33}$
* *Simplification:* Both 21 and 33 can be divided by 3.
* $21 \div 3 = 7$
* $33 \div 3 = 11$
* Simplified Result: $\frac{7}{11}$
4. $\frac{6}{21} + \frac{5}{21}$
* Add the tops: $6 + 5 = 11$
* Keep the bottom: $21$
* Result: $\frac{11}{21}$
5. $\frac{3}{13} + \frac{8}{13}$
* Add the tops: $3 + 8 = 11$
* Keep the bottom: $13$
* Result: $\frac{11}{13}$
6. $\frac{5}{22} + \frac{7}{22}$
* Add the tops: $5 + 7 = 12$
* Keep the bottom: $22$
* Initial Result: $\frac{12}{22}$
* *Simplification:* Both 12 and 22 are even numbers, so they can be divided by 2.
* $12 \div 2 = 6$
* $22 \div 2 = 11$
* Simplified Result: $\frac{6}{11}$
7. $\frac{13}{35} + \frac{11}{35}$
* Add the tops: $13 + 11 = 24$
* Keep the bottom: $35$
* Result: $\frac{24}{35}$
8. $\frac{11}{43} + \frac{18}{43}$
* Add the tops: $11 + 18 = 29$
* Keep the bottom: $43$
* Result: $\frac{29}{43}$
Final Answer:
1. $\frac{10}{11}$
2. $\frac{23}{40}$
3. $\frac{7}{11}$
4. $\frac{11}{21}$
5. $\frac{11}{13}$
6. $\frac{6}{11}$
7. $\frac{24}{35}$
8. $\frac{29}{43}$
Parent Tip: Review the logic above to help your child master the concept of math worksheet 5th grade.
