Subtraction of Fractions: One of the denominators is the common denominator

Worded problemsMultiplication of signed numbersNumber of termsComplete the missing numbersFinding a Common Denominator by Multiplying the DenominatorsIn combination with other operationsVisual display of fractions with like denominatorsFractions with common denominatorsThe common denominator is smaller than the product of the denominatorsMore than two fractions
Question 1

\( \frac{3}{5}-\frac{3}{10}= \)

Question 2

\( \frac{4}{5}-\frac{5}{10}= \)

Question 3

\( \frac{4}{5}-\frac{3}{10}= \)

Question 4

Solve the following exercise:

\( \frac{2}{3}-\frac{1}{9}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{5}{4}-\frac{3}{8}=\text{?} \)

Examples with solutions for Subtraction of Fractions: One of the denominators is the common denominator

Exercise #1

35−310= \frac{3}{5}-\frac{3}{10}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common denominator between 5 and 10

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

3×25×2−3×110×1=610−310 \frac{3\times2}{5\times2}-\frac{3\times1}{10\times1}=\frac{6}{10}-\frac{3}{10}

Now let's subtract:

6−310=310 \frac{6-3}{10}=\frac{3}{10}

Answer

310 \frac{3}{10}

Exercise #2

45−510= \frac{4}{5}-\frac{5}{10}=

Video Solution

Step-by-Step Solution

Let's try to find the least common denominator between 5 and 10

To find the least common denominator, we need to find a number that is divisible by both 5 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

4×25×2−5×110×1=810−510 \frac{4\times2}{5\times2}-\frac{5\times1}{10\times1}=\frac{8}{10}-\frac{5}{10}

Now let's subtract:

8−510=310 \frac{8-5}{10}=\frac{3}{10}

Answer

310 \frac{3}{10}

Exercise #3

45−310= \frac{4}{5}-\frac{3}{10}=

Video Solution

Step-by-Step Solution

Let's try to find the least common denominator between 5 and 10

To find the least common denominator, we need to find a number that is divisible by both 5 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

4×25×2−3×110×1=810−310 \frac{4\times2}{5\times2}-\frac{3\times1}{10\times1}=\frac{8}{10}-\frac{3}{10}

Now let's subtract:

8−310=510 \frac{8-3}{10}=\frac{5}{10}

Answer

510 \frac{5}{10}

Exercise #4

Solve the following exercise:

23−19=? \frac{2}{3}-\frac{1}{9}=\text{?}

Video Solution

Answer

59 \frac{5}{9}

Exercise #5

Solve the following exercise:

54−38=? \frac{5}{4}-\frac{3}{8}=\text{?}

Video Solution

Answer

78 \frac{7}{8}

Question 1

Solve the following exercise:

\( \frac{3}{4}-\frac{3}{8}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{1}{2}-\frac{2}{8}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{1}{2}-\frac{1}{4}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{1}{4}-\frac{1}{8}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{1}{2}-\frac{2}{10}=\text{?} \)

Exercise #6

Solve the following exercise:

34−38=? \frac{3}{4}-\frac{3}{8}=\text{?}

Video Solution

Answer

38 \frac{3}{8}

Exercise #7

Solve the following exercise:

12−28=? \frac{1}{2}-\frac{2}{8}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #8

Solve the following exercise:

12−14=? \frac{1}{2}-\frac{1}{4}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #9

Solve the following exercise:

14−18=? \frac{1}{4}-\frac{1}{8}=\text{?}

Video Solution

Answer

18 \frac{1}{8}

Exercise #10

Solve the following exercise:

12−210=? \frac{1}{2}-\frac{2}{10}=\text{?}

Video Solution

Answer

310 \frac{3}{10}

Question 1

Solve the following exercise:

\( \frac{3}{5}-\frac{6}{15}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{5}{6}-\frac{7}{12}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{3}{4}-\frac{5}{12}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{2}{3}-\frac{1}{6}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{3}{5}-\frac{5}{10}=\text{?} \)

Exercise #11

Solve the following exercise:

35−615=? \frac{3}{5}-\frac{6}{15}=\text{?}

Video Solution

Answer

15 \frac{1}{5}

Exercise #12

Solve the following exercise:

56−712=? \frac{5}{6}-\frac{7}{12}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #13

Solve the following exercise:

34−512=? \frac{3}{4}-\frac{5}{12}=\text{?}

Video Solution

Answer

13 \frac{1}{3}

Exercise #14

Solve the following exercise:

23−16=? \frac{2}{3}-\frac{1}{6}=\text{?}

Video Solution

Answer

12 \frac{1}{2}

Exercise #15

Solve the following exercise:

35−510=? \frac{3}{5}-\frac{5}{10}=\text{?}

Video Solution

Answer

110 \frac{1}{10}

Question 1

Solve the following exercise:

\( \frac{1}{3}-\frac{1}{6}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{2}{3}-\frac{2}{9}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{5}{8}-\frac{1}{4}=\text{?} \)

Exercise #16

Solve the following exercise:

13−16=? \frac{1}{3}-\frac{1}{6}=\text{?}

Video Solution

Answer

16 \frac{1}{6}

Exercise #17

Solve the following exercise:

23−29=? \frac{2}{3}-\frac{2}{9}=\text{?}

Video Solution

Answer

49 \frac{4}{9}

Exercise #18

Solve the following exercise:

58−14=? \frac{5}{8}-\frac{1}{4}=\text{?}

Video Solution

Answer

38 \frac{3}{8}