Mixed Number to Decimal - Conversion, 2 Methods, Examples - Free Printable

Let's solve each problem step by step.

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Questions 1–6: Convert mixed numbers to decimals

We convert each mixed number to a decimal by:
- Converting the fractional part to a decimal.
- Adding it to the whole number.

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1) $ 5\frac{6}{10} $

- $ \frac{6}{10} = 0.6 $
- So, $ 5 + 0.6 = \boxed{5.6} $

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2) $ 4\frac{4}{7} $

- $ \frac{4}{7} \approx 0.5714 $
- So, $ 4 + 0.5714 = \boxed{4.5714} $ (or approximately 4.57 if rounded)

But since it doesn't specify rounding, we can leave it as is or round to two decimals:
→ $ \boxed{4.57} $

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3) $ 4\frac{9}{5} $

Wait! This is an improper fraction: $ \frac{9}{5} = 1.8 $, so:

- $ 4 + 1.8 = 5.8 $
- But wait: $ 4\frac{9}{5} $ means $ 4 + \frac{9}{5} $
- $ \frac{9}{5} = 1.8 $
- $ 4 + 1.8 = \boxed{5.8} $

Alternatively, you might interpret this as an improper mixed number — but mathematically, $ 4\frac{9}{5} $ is just $ 4 + \frac{9}{5} = 5.8 $

So: $ \boxed{5.8} $

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4) $ 6\frac{3}{11} $

- $ \frac{3}{11} \approx 0.2727 $
- $ 6 + 0.2727 = \boxed{6.2727} $ → Rounded to two decimals: $ \boxed{6.27} $

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5) $ 8\frac{3}{4} $

- $ \frac{3}{4} = 0.75 $
- $ 8 + 0.75 = \boxed{8.75} $

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6) $ 9\frac{5}{2} $

- $ \frac{5}{2} = 2.5 $
- $ 9 + 2.5 = \boxed{11.5} $

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✔ Answers for 1–6:

1) 5.6
2) 4.57 (rounded)
3) 5.8
4) 6.27 (rounded)
5) 8.75
6) 11.5

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Question 7:

> Linda walked $ 2\frac{1}{3} $ miles on the first day and $ 3\frac{2}{5} $ miles on the next day. How many miles did she walk in all?

Convert both to decimals:

- $ 2\frac{1}{3} = 2 + \frac{1}{3} \approx 2 + 0.333 = 2.333 $
- $ 3\frac{2}{5} = 3 + \frac{2}{5} = 3 + 0.4 = 3.4 $

Add:
$ 2.333 + 3.4 = 5.733 $ → Round to two decimal places:
→ $ \boxed{5.73} $

Now check options:

a) 5.53
b) 5.81
c) 5.71
d) 5.73 ✔

✔ Answer: d) 5.73

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Question 8:

> David ate $ 2\frac{1}{7} $ pizzas and gave $ 1\frac{3}{14} $ pizzas to his mother. How many pizzas did David have initially?

Assuming he had only what he ate and gave away, total initial amount = sum of both.

So:

- $ 2\frac{1}{7} = 2 + \frac{1}{7} \approx 2 + 0.142857 = 2.142857 $
- $ 1\frac{3}{14} = 1 + \frac{3}{14} \approx 1 + 0.214286 = 1.214286 $

Add them:

$ 2.142857 + 1.214286 = 3.357143 $

Round to 2 decimal places: $ \boxed{3.36} $

So David had 3.36 pizzas initially.

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✔ Final Answers:

#### 1–6:
1) 5.6
2) 4.57
3) 5.8
4) 6.27
5) 8.75
6) 11.5

#### 7) d) 5.73
#### 8) 3.36 pizzas

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Let me know if you'd like these shown with exact fractions or more detailed steps!