Multiplying Fractions by Whole Numbers worksheet - Free Printable

Explanation:
We are multiplying fractions by whole numbers. Remember:
To multiply a fraction by a whole number, write the whole number as a fraction (e.g., 8 = 8/1), then multiply numerator × numerator and denominator × denominator.

Let’s solve each one step by step:

1) $ \frac{1}{4} \times 8 = \frac{1 \times 8}{4} = \frac{8}{4} = 2 $

2) $ \frac{1}{4} \times 10 = \frac{10}{4} = \frac{5}{2} = 2\frac{1}{2} $
But since this is likely for elementary practice, we can leave it as an improper fraction or mixed number. Let’s check if simplification is expected — usually in early grades, they accept simplified fractions or mixed numbers. We’ll use mixed numbers where appropriate.

3) $ \frac{3}{8} \times 8 = \frac{3 \times 8}{8} = \frac{24}{8} = 3 $

4) $ \frac{1}{8} \times 8 = \frac{8}{8} = 1 $

5) $ \frac{3}{6} \times 8 $ — first simplify $ \frac{3}{6} = \frac{1}{2} $, then $ \frac{1}{2} \times 8 = \frac{8}{2} = 4 $

6) $ \frac{1}{8} \times 8 = 1 $ (same as #4)

7) $ \frac{7}{10} \times 10 = \frac{70}{10} = 7 $

8) $ \frac{1}{2} \times 2 = \frac{2}{2} = 1 $

9) $ \frac{1}{8} \times 4 = \frac{4}{8} = \frac{1}{2} $

10) $ \frac{1}{4} \times 8 = 2 $ (same as #1)

Now double-check all:

1) 2 ✔
2) $ \frac{10}{4} = 2.5 = 2\frac{1}{2} $ — but maybe they want improper? Let's see pattern: most answers are whole numbers except possibly #2 and #9. Since #9 gives $ \frac{1}{2} $, it's okay to have fractions. So keep as simplified fraction or mixed number. In elementary worksheets, often they prefer simplified fractions (proper or improper) or mixed numbers. Let’s use simplest form:

- #2: $ \frac{5}{2} $ or $ 2\frac{1}{2} $. Since others are whole numbers or halves, $ 2\frac{1}{2} $ is fine.
- But let’s confirm: the problem says “Multiplying Fractions and Whole Numbers” — standard expectation is to simplify fully.

I’ll write answers in simplest form (mixed numbers when >1 and fractional part exists; proper fractions otherwise).

So:
1) 2
2) $ 2\frac{1}{2} $
3) 3
4) 1
5) 4
6) 1
7) 7
8) 1
9) $ \frac{1}{2} $
10) 2

Wait — let me recompute #5 carefully:
$ \frac{3}{6} = \frac{1}{2} $, yes. $ \frac{1}{2} \times 8 = 4 $ ✔

All correct.

Final Answer:
1) 2
2) $ 2\frac{1}{2} $
3) 3
4) 1
5) 4
6) 1
7) 7
8) 1
9) $ \frac{1}{2} $
10) 2