Adding Fractions with Unlike Denominators Worksheet

**Page 1**

1.

Find the sum of the fractions in the figure.

a. | 3 | ||

b. | 4 | ||

c. | 2 | ||

d. | 1 |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the common denominator.

Common denominator = Least Common Multiple of the denominators = 12

The equivalents of

[Substitute.]

=

[Add the numerators and simplify.]

So, the sum of the fractions in the figure is 1.

Correct answer : (4)

2.

Find the sum of the fractions in the figure.

a. | $\frac{3}{4}$ | ||

b. | $\frac{5}{7}$ | ||

c. | $\frac{7}{12}$ | ||

d. | $\frac{5}{12}$ |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the least common multiple of the denominators (LCM).

LCM of 3 and 4 is 12.

The equivalents of

[Substitute the fractions with their equivalent fractions.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (3)

3.

Find the sum of the fractions in the figure.

a. | $\frac{8}{7}$ | ||

b. | $\frac{7}{12}$ | ||

c. | $\frac{7}{8}$ | ||

d. | $\frac{1}{12}$ |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, find out the least common multiple of the denominators (LCM).

Least Common Multiple of 6 and 8 is 24.

The equivalents of

[Substitute the fractions with their equivalent fractions.]

=

[Add the numerators.]

=

[Simplify]

Correct answer : (2)

4.

Find the sum of the fractions in the figure.

a. | $\frac{7}{24}$ | ||

b. | $\frac{1}{8}$ | ||

c. | $\frac{1}{4}$ | ||

d. | $\frac{5}{24}$ |

To add unlike fractions, convert them into like fractions.

To convert unlike fractions into like fractions, we must first find the least common denominator.

Least common denominator = Least common multiple of denominators = 24

The equivalents of

[Substitute the fractions with their equivalent fractions.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (1)

5.

What is the sum of the fractions in the figure?

a. | $\frac{3}{4}$ | ||

b. | $\frac{5}{4}$ | ||

c. | $\frac{1}{4}$ | ||

d. | $\frac{4}{3}$ |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the least common multiple of the denominators (LCM).

Least Common Multiple of 2 and 4 is 4.

The equivalents of

[Substitute.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (1)

6.

Which of the figures represents the unlike fractions?

a. | Figure 1 | ||

b. | Figure 2 | ||

c. | Figure 3 | ||

d. | Figure 4 |

Choice A is correct.

Correct answer : (1)

7.

What is the sum of the fractions in the figure?

a. | $\frac{7}{12}$ | ||

b. | $\frac{1}{12}$ | ||

c. | $\frac{5}{12}$ | ||

d. | None of the above |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the least common multiple of the denominators (LCM).

Least Common Multiple of 4 and 3 is 12.

The equivalents of

[Substitute.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (1)

8.

What is the sum of the fractions in the figure?

a. | $\frac{7}{15}$ | ||

b. | $\frac{8}{15}$ | ||

c. | $\frac{14}{15}$ | ||

d. | $\frac{11}{15}$ |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the least common multiple of denominators (LCM).

Least Common Multiple of 3 and 5 is 15.

The equivalents of

[Substitute.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (4)

9.

What is the sum of the fractions in the figure?

a. | $\frac{8}{15}$ | ||

b. | $\frac{13}{15}$ | ||

c. | $\frac{11}{15}$ | ||

d. | $\frac{17}{15}$ |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the least common multiple of the denominators.

Least Common multiple of 15 and 3 is 15.

The equivalents of

=

[Add the numerators.]

Correct answer : (2)

10.

Find the sum of the fractions in the figure.

a. | $\frac{11}{20}$ | ||

b. | $\frac{11}{13}$ | ||

c. | $\frac{13}{20}$ | ||

d. | none of these |

To add unlike fractions, we must first convert them into like fractions.

To convert unlike fractions into like fractions, we must first find out the common denominator.

Common denominator = Least Common Multiple of the denominators = 20

The equivalents of

[Substitute.]

=

[Add the numerators.]

So, the sum of the fractions in the figure is

Correct answer : (3)