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Finding Fraction Parts
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Finding Fraction Parts
To find a fraction of an amount, divide by the denominator and multiply by the numerator. Show your working for calculation questions. Simplify fractions and write improper fractions as mixed numbers when asked.
Finding fractions of amounts
1.Work out \(\frac{3}{5}\) of 40.
2.What is \(\frac{7}{8}\) of 56?
3.Calculate \(\frac{5}{6}\) of 42.
- 30
- 32
- 35
- 36
4.Find \(\frac{9}{4}\) of 8. Give your answer as a whole number.
5.The number line is divided into equal steps from 0 to 2. Which labelled point represents \(\frac{5}{4}\)?
Improper fractions and mixed numbers
6.Convert \(\frac{19}{6}\) to a mixed number.
7.Write \(\frac{29}{8}\) as a mixed number.
8.Convert \(4\frac{2}{7}\) to an improper fraction.
9.Find \(\frac{5}{3}\) of 18. Give the result as an improper fraction and state the equivalent whole number; it has no fractional part.
10.Match each improper fraction to its equivalent mixed number.
- \(\frac{17}{4}\)
- \(\frac{13}{5}\)
- \(\frac{22}{7}\)
- \(\frac{19}{6}\)
- B. 4\(\frac{1}{4}\)
- D. 3\(\frac{1}{6}\)
- C. 3\(\frac{1}{7}\)
- A. 2\(\frac{3}{5}\)
Fraction parts in context
11.At a school radio station, Sione has 48 song requests to sort. He plays \(\frac{5}{8}\) of them during the lunchtime show. How many requests does he play?
12.Charlotte has 54 cue cards for a radio segment. She gives \(\frac{2}{9}\) of them to Kahu. How many cards does Kahu receive?
13.A station has 36 minutes available for music. The producer uses \(\frac{3}{4}\) of that time. Is 28 minutes enough to fill the music slot? Show how you know.
14.A radio fundraiser has collected $96. If \(\frac{7}{12}\) of the total came from online donations, how much came from online donations?
15.The station recorded 75 short sound effects. The team uses \(\frac{4}{5}\) of them in a programme. How many sound effects are used, and how many are left?
16.A school radio interview lasts 42 minutes. The interview takes \(\frac{5}{6}\) of the broadcast slot. How long is the full slot?
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