To find the missing numerators, we need to make equivalent fractions. This means changing a fraction with tenths (denominator 10) into a fraction with hundredths (denominator 100).
Here is the step-by-step logic for each problem:
The Rule: To go from a denominator of 10 to 100, you multiply by 10. Whatever you do to the bottom number, you must also do to the top number. So, we multiply the numerator by 10.
Problem 1: $\frac{2}{10} = \frac{?}{100}$
* Multiply the top number by 10: $2 \times 10 = 20$.
* The missing number is
20.
Problem 2: $\frac{?}{10} = \frac{50}{100}$
* Here, we know the answer is 50 out of 100. We need to find what that is out of 10.
* Since $50 \div 10 = 5$, the fraction is $\frac{5}{10}$.
* Alternatively, think: What number times 10 equals 50? The answer is 5.
* The missing number is
5.
Problem 3: $\frac{9}{10} = \frac{?}{100}$
* Multiply the top number by 10: $9 \times 10 = 90$.
* The missing number is
90.
Problem 4: $\frac{?}{10} = \frac{60}{100}$
* We need to find what number over 10 is equal to 60 over 100.
* Divide the top number by 10: $60 \div 10 = 6$.
* The missing number is
6.
Final Answer:
1. 20
2. 5
3. 90
4. 6
Parent Tip: Review the logic above to help your child master the concept of adding tenths and hundredths fractions worksheet.