**Name_______________________________________________Date_________________________**

Mathematics Problem Solving

Volume 5, Number 4, September 27, 1999

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**Like Fractions**

The
following problems require you to add or subtract fractions. Remember,
the **denominators** (bottom numbers) must be the same,
and they don’t change in the answers. You simply add or
subtract the **numerators** (top numbers).

Examples:

1/3 + 1/3 =
2/3

18/20 - 3/20 =
15/20

Fractions that
have the same numbers for denominators are called **like
fractions**.

Also,
it’s important to know that one whole thing or set (the
number one) can be represented by any fraction where the **numerator
and denominator are the same**.

Examples:

4/4 = 1

2/2 = 1

10/10 = 1

That means,
for example, that 1 - 2/5 = 3/5 (One minus two fifths equals three
fifths), because 5/5 - 2/5 = 3/5.

1.
Ryan and his mother baked a large blueberry pie. Ryan ate one third of
the pie, his mother also ate one third of the pie. What fraction of the
pie did they both eat?

2. What
fraction of the pie was left?

3. An alien
from a far off planet landed her spacecraft on Earth. She had left her
planet with a full tank of super interplanetary fuel. She knew that
she’d need at least 3/8 of that fuel to return home from
Earth. She used half ( 1/2 = 4/8) a tank of fuel to get here. She
figured that she would still have _______ of the original supply of
fuel when she arrived home.
a.
none

b. 4/8

c. 7/8

d. 1/8

4. Miss Joan
had her students draw pictures of their homes. Five twenty-thirds of
the students used colored pencils, 4/23 used crayons, and the rest of
the class used paint. What fraction of the class did not use paint to
draw the pictures?

5. What
fraction of the class used paint to draw the pictures?

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