Comparing Fractions with Unlike Denominators Worksheet

**Page 1**

1.

Jonathan ate $\frac{3}{8}$ of a pizza and Terry ate $\frac{1}{4}$ of another pizza. Identify the appropriate symbol to compare the fractions.

a. | < | ||

b. | = | ||

c. | > | ||

d. | × |

Correct answer : (3)

2.

Joanna bought 18 peaches. She gave $\frac{1}{3}$ of them to Cris and $\frac{1}{2}$ of the them to Hal. Which symbol would you put inside the circle to compare the fractions rightly?

a. | = | ||

b. | < | ||

c. | × | ||

d. | > |

[Original fractions.]

Since the numerator for all the fractions is same, compare the denominators.

The fraction with the greatest denominator will have the least value.

As 3 > 2,

So,

Correct answer : (2)

3.

Choose an appropriate symbol to compare the fractions.

$\frac{1}{4}$ $\begin{array}{|c|}\hline \\ \hline\end{array}$ $\frac{1}{2}$

$\frac{1}{4}$ $\begin{array}{|c|}\hline \\ \hline\end{array}$ $\frac{1}{2}$

a. | < | ||

b. | + | ||

c. | = | ||

d. | > |

This shows that, one strip representing

So,

Correct answer : (1)

4.

Choose an appropriate symbol to compare the fractions.

a. | < | ||

b. | > | ||

c. | + | ||

d. | = |

This shows that, one strip representing

Correct answer : (2)

5.

Order the fractions from least to greatest.

a. | $\frac{1}{25}$, $\frac{1}{15}$, $\frac{1}{5}$ | ||

b. | $\frac{1}{25}$, $\frac{2}{15}$, $\frac{1}{5}$ | ||

c. | $\frac{1}{5}$, $\frac{1}{15}$, $\frac{1}{25}$ | ||

d. | $\frac{1}{5}$, $\frac{1}{15}$, $\frac{1}{15}$, $\frac{1}{25}$ |

[The fraction strip representing

From the figure,

[Each fraction strip representing

As

So, the fractions ordered from least to greatest are

Correct answer : (1)

6.

Order the fractions from the greatest to the least.

a. | $\frac{1}{2}$ , $\frac{3}{5}$ , $\frac{1}{5}$ | ||

b. | $\frac{1}{2}$ , $\frac{1}{5}$ , $\frac{1}{3}$ | ||

c. | $\frac{2}{25}$ , $\frac{2}{15}$ , $\frac{1}{3}$ | ||

d. | $\frac{1}{2}$ , $\frac{2}{5}$ , $\frac{1}{3}$ |

[The fraction strip representing

From the figure,

[The strip combining the two fraction strips representing

As

So, the fractions ordered from greatest to least are

Correct answer : (4)

7.

Order the fractions from the least to the greatest.

a. | $\frac{1}{8}$, $\frac{1}{4}$, $\frac{1}{2}$ | ||

b. | $\frac{1}{6}$, $\frac{1}{4}$, $\frac{4}{8}$ | ||

c. | $\frac{1}{6}$, $\frac{1}{4}$, $\frac{1}{8}$ | ||

d. | $\frac{1}{6}$, $\frac{4}{8}$, $\frac{1}{8}$ |

[The fraction strip representing

From the figure,

[The fraction strip representing

As

So, the fractions ordered from least to greatest are

Correct answer : (2)

8.

A child spends $\frac{1}{2}$ of a day in sleeping, $\frac{1}{10}$ of the day in eating, $\frac{1}{9}$ of the day in playing and the rest $\frac{1}{5}$ of the day in doing other activities, like bathing, etc. Arrange these fractions from the least to the greatest.

a. | $\frac{1}{10}>\frac{1}{9}<\frac{1}{5}>\frac{1}{2}$ | ||

b. | $\frac{1}{10}>\frac{1}{9}>\frac{1}{5}>\frac{1}{2}$ | ||

c. | $\frac{1}{10}>\frac{1}{9}<\frac{1}{5}<\frac{1}{2}$ | ||

d. | $\frac{1}{10}<\frac{1}{9}<\frac{1}{5}<\frac{1}{2}$ |

[Original fractions.]

Since the numerator for all the fractions is same, compare the denominators.

The fraction with the greatest denominator will have the least value.

As 10 > 9 > 5 > 2,

The order of the fractions from least to greatest is

Correct answer : (4)