Converting Fractions Decimals and Percentages Objective To convert
Converting Fractions, Decimals and Percentages Objective: To convert between fractions, decimals and percentages. Starter – Simplify the following: e. g. 2. 63 84 25 40 5 8 ? ? 25 and 40 are both multiples of 5. Divide both by this same common multiple in order to simplify.
Converting a Percentage to a Decimal Example 1 Example 2 23% = 23 ÷ 100 = 0. 23 80% = 80 ÷ 100 = 0. 8
Converting a Percentage to a Fraction 28 = 7 28% = 100 25 ÷ 4
Questions – convert these percentages into fractions (simplified) and decimals: 1) 40% 5) 86% 2) 80% 6) 4% 3) 55% 7) 24% 4) 22% 8) 35%
Converting a Decimal into a Fraction Example 1 0. 44 = 11 100 25 ÷ 4 Example 2 8 4 0. 8 = = 10 5 ÷ 2
Converting a Decimal into a Percentage Example 1 Example 2 0. 44 = 0. 44 x 100 = 44% 0. 8 = 0. 8 x 100 = 80%
Questions – convert these decimals into percentages and fractions (simplified): 1) 0. 9 5) 0. 32 2) 0. 2 6) 0. 12 3) 0. 66 7) 0. 38 4) 0. 05 8) 0. 18
Converting a Fraction to a Decimal Calculator Question Non-Calculator Question 9 = 9 ÷ 40 = 0. 225 40 10 40 = 40 ÷ 100 = 0. 4 = 25 100 x 4
Converting a Fraction to a Percentage Calculator Question Non-Calculator Question 9 = 9 ÷ 40 x 100 = 22. 5% 40 10 40 = 40% = 25 100 x 4
Questions – convert these fractions into decimals and percentages: 5) 1 20 2) 7 10 6) 2 5 19 3) 20 7) 3 1) 4) 4 5 12 25 4 8) 23 25
Fractions Decimals Percentages Copy and complete the following table: Fractions Decimals Percentages 31% 0. 38 0. 35 20% 17/25 90/100 26% 0. 1
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