Subtract Unlike Fractions worksheet from SplashLearn with four subtraction problems.

Here are the step-by-step solutions for each subtraction problem. To subtract fractions with different denominators (the bottom numbers), we first need to find a common denominator so that the pieces are the same size.

Problem 1: $\frac{4}{5} - \frac{2}{4}$

1. Find a common denominator: The multiples of 5 are 5, 10, 15, 20... and the multiples of 4 are 4, 8, 12, 16, 20... The smallest number they share is 20.
2. Convert the fractions:
* For $\frac{4}{5}$: Multiply top and bottom by 4 to get $\frac{16}{20}$.
* For $\frac{2}{4}$: Multiply top and bottom by 5 to get $\frac{10}{20}$.
3. Subtract: $\frac{16}{20} - \frac{10}{20} = \frac{6}{20}$.
4. Simplify: Both numbers can be divided by 2. $\frac{6 \div 2}{20 \div 2} = \frac{3}{10}$.

Problem 2: $\frac{9}{7} - \frac{4}{6}$

1. Find a common denominator: The multiples of 7 are 7, 14, 21, 28, 35, 42... and the multiples of 6 are 6, 12, 18, 24, 30, 36, 42... The common denominator is 42.
2. Convert the fractions:
* For $\frac{9}{7}$: Multiply top and bottom by 6 to get $\frac{54}{42}$.
* For $\frac{4}{6}$: Multiply top and bottom by 7 to get $\frac{28}{42}$.
3. Subtract: $\frac{54}{42} - \frac{28}{42} = \frac{26}{42}$.
4. Simplify: Both numbers are even, so divide by 2. $\frac{26 \div 2}{42 \div 2} = \frac{13}{21}$.

Problem 3: $\frac{6}{3} - \frac{7}{5}$

1. Simplify first (Optional but easier): $\frac{6}{3}$ is equal to 2. So the problem is $2 - \frac{7}{5}$.
2. Convert to fractions: Turn 2 into a fraction with a denominator of 5. Since $1 = \frac{5}{5}$, then $2 = \frac{10}{5}$.
3. Subtract: $\frac{10}{5} - \frac{7}{5} = \frac{3}{5}$.

*(Alternative method without simplifying first: Common denominator for 3 and 5 is 15. $\frac{6}{3}$ becomes $\frac{30}{15}$. $\frac{7}{5}$ becomes $\frac{21}{15}$. $\frac{30}{15} - \frac{21}{15} = \frac{9}{15}$. Simplify by dividing by 3 to get $\frac{3}{5}$.)*

Problem 4: $\frac{4}{3} - \frac{3}{9}$

1. Find a common denominator: The multiples of 3 are 3, 6, 9... and the multiples of 9 are 9, 18... The common denominator is 9.
2. Convert the fractions:
* For $\frac{4}{3}$: Multiply top and bottom by 3 to get $\frac{12}{9}$.
* The second fraction $\frac{3}{9}$ stays the same.
3. Subtract: $\frac{12}{9} - \frac{3}{9} = \frac{9}{9}$.
4. Simplify: $\frac{9}{9}$ is equal to 1.

Final Answer:
1) 3/10
2) 13/21
3) 3/5
4) 1