Percentage Conversions © T Madas
© T Madas
To convert a decimal into a percentage, we multiply the decimal by 100 x 100 x 100 0.3 30% 0.08 8% x 100 x 100 0.7 70% 0.01 1% x 100 x 100 0.65 65% 1.5 150% x 100 x 100 0.45 45% 4 400% x 100 x 100 0.22 22% 0.318 31.8% x 100 x 100 0.05 5% 0.175 17.5% © T Madas
To convert a percentage into a decimal, we divide the percentage by 100 ÷ 100 ÷ 100 80% 0.8 2% 0.02 ÷ 100 ÷ 100 40% 0.4 1% 0.01 ÷ 100 ÷ 100 35% 0.35 250% 2.5 ÷ 100 ÷ 100 95% 0.95 300% 3 ÷ 100 ÷ 100 43% 0.43 46.5% 0.465 ÷ 100 ÷ 100 6% 0.06 67.1% 0.671 © T Madas
Decimals c Percentages [practice] © T Madas
Percentages & Decimals 30% = 0.3 33% = 0.33 13.2% = 0.132 60% = 0.6 = 0.123 87% = 0.87 12.3% 90% = 0.9 = 0.11 76.5% = 0.765 11% 10% = 0.1 32% = 0.32 62.9% = 0.629 55% = 0.55 6% = 0.06 150% = 1.5 35% = 0.35 = 5 1% = 0.01 500% 85% = 0.85 8% = 0.08 2.5% = 0.025 25% = 0.25 17.5% = 0.175 6.5% = 0.065 5% = 0.05 22.5% = 0.225 0.5% = 0.005 © T Madas
Percentages & Decimals 20% = 0.2 73% = 0.73 63.2% = 0.632 50% = 0.5 = 0.193 47% = 0.47 19.3% 80% = 0.8 0.465 21% = 0.21 46.5% = 40% = 0.4 38% = 0.38 92.9% = 0.929 65% = 0.65 4% = 0.04 250% = 2.5 95% = 0.95 = 3 1% = 0.01 300% 15% = 0.15 9% = 0.09 7.5% = 0.075 75% = 0.75 87.5% = 0.875 6.1% = 0.061 5% = 0.05 27.5% = 0.275 0.5% = 0.005 © T Madas
Decimals c Percentages [Quick Test] © T Madas
Percentages & Decimals 30% = 0.3 33% = 0.33 13.2% = 0.132 60% = 0.6 = 0.123 87% = 0.87 12.3% 90% = 0.9 = 0.11 76.5% = 0.765 11% 10% = 0.1 32% = 0.32 62.9% = 0.629 55% = 0.55 6% = 0.06 150% = 1.5 35% = 0.35 = 5 1% = 0.01 500% 85% = 0.85 8% = 0.08 2.5% = 0.025 25% = 0.25 17.5% = 0.175 6.5% = 0.065 5% = 0.05 22.5% = 0.225 0.5% = 0.005 © T Madas
Percentages & Decimals 20% = 0.2 73% = 0.73 63.2% = 0.632 50% = 0.5 = 0.193 47% = 0.47 19.3% 80% = 0.8 0.465 21% = 0.21 46.5% = 40% = 0.4 38% = 0.38 92.9% = 0.929 65% = 0.65 4% = 0.04 250% = 2.5 95% = 0.95 = 3 1% = 0.01 300% 15% = 0.15 9% = 0.09 7.5% = 0.075 75% = 0.75 87.5% = 0.875 6.1% = 0.061 5% = 0.05 27.5% = 0.275 0.5% = 0.005 © T Madas
© T Madas
Changing Percentages into Fractions © T Madas
Changing Fractions Into Percentages x 2 x 5 x 20 11 50 22 100 7 20 35 100 2 5 40 100 = = 22% = = 35% = = 40% x 2 x 5 x 20 x 10 x 4 x 25 3 10 30 100 6 25 24 100 5 4 125 100 = = 30% = = 24% = = 125% x 10 x 4 x 25 © T Madas
The numerator of a fraction out of 100 is the percentage. To change a percentage into a fraction we write a fraction with numerator the same as the percentage, and with denominator equal to 100. We then cancel it down. To change some fractions into a percentage, we try to find an equivalent fraction out of 100. The numerator of a fraction out of 100 is the percentage. x 5 x 5 To change any fraction into a percentage, we change the fraction into a decimal (by division if necessary) and change the decimal into a percentage. © T Madas
Changing Fractions into Percentages [practice] © T Madas
Writing fractions out of 100 © T Madas
Writing fractions out of 100 © T Madas
Writing fractions out of 100 © T Madas
Changing Fractions into Percentages [Quick Test] © T Madas
Writing fractions out of 100 © T Madas
Writing fractions out of 100 © T Madas
Writing fractions out of 100 © T Madas
© T Madas
What percentage of the bar is shaded? 1 10 = 10% 1 4 = 25% 1 8 = 12.5% 1 5 = 20% 1 20 = 5% 1 3 = 33⅓% © T Madas
What percentage of the bar is shaded? 3 10 = 30% 1 2 = 50% 3 8 = 37.5% 4 5 = 80% 3 20 = 15% 1 3 = 33⅓% © T Madas
What percentage of the bar is shaded? 7 10 = 70% 3 4 = 75% 1 8 = 12.5% 3 5 = 60% 7 20 = 35% 2 3 = 66⅔% © T Madas
What percentage of the bar is shaded? 9 10 = 90% 2 5 = 40% 5 8 = 62.5% 9 20 = 45% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
What percentage of the bar is shaded? 6 10 = 60% 4 5 = 80% 3 8 = 37.5% 11 20 = 55% 2 3 = 66⅔% 2 6 = 33 % 1 3 © T Madas
What percentage of the bar is shaded? 8 10 = 60% 3 5 = 60% 7 8 = 87.5% 13 20 = 65% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
What percentage of the bar is shaded? 5 10 = 50% 2 5 = 40% 1 8 = 12.5% 17 20 = 85% 2 3 = 66⅔% very hard 5 6 = 83 % 1 3 © T Madas
What percentage of the bar is shaded? 8 10 = 80% 1 5 = 20% 3 8 = 37.5% 19 20 = 95% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
© T Madas
What percentage of the bar is shaded? 1 10 = 10% 1 4 = 25% 1 8 = 12.5% 1 5 = 20% 1 20 = 5% 1 3 = 33⅓% © T Madas
What percentage of the bar is shaded? 3 10 = 30% 1 2 = 50% 3 8 = 37.5% 4 5 = 80% 3 20 = 15% 1 3 = 33⅓% © T Madas
What percentage of the bar is shaded? 7 10 = 70% 3 4 = 75% 1 8 = 12.5% 3 5 = 60% 7 20 = 35% 2 3 = 66⅔% © T Madas
What percentage of the bar is shaded? 9 10 = 90% 2 5 = 40% 5 8 = 62.5% 9 20 = 45% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
What percentage of the bar is shaded? 6 10 = 60% 4 5 = 80% 3 8 = 37.5% 11 20 = 55% 2 3 = 66⅔% 2 6 = 33 % 1 3 © T Madas
What percentage of the bar is shaded? 8 10 = 60% 3 5 = 60% 7 8 = 87.5% 13 20 = 65% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
What percentage of the bar is shaded? 5 10 = 50% 2 5 = 40% 1 8 = 12.5% 17 20 = 85% 2 3 = 66⅔% very hard 5 6 = 83 % 1 3 © T Madas
What percentage of the bar is shaded? 8 10 = 80% 1 5 = 20% 3 8 = 37.5% 19 20 = 95% 1 3 = 33⅓% hard 1 6 = 16 % 2 3 © T Madas
Pecentage Conversions To convert a decimal into a percentage, we multiply the decimal by 100 To convert a percentage into a decimal, we divide the percentage by 100 To change a percentage into a fraction we write a fraction with numerator the same as the percentage, and with denominator equal to 100. We then cancel it down. To change some fractions into a percentage, we try to find an equivalent fraction out of 100. The numerator of a fraction out of 100 is the percentage. x5 x5 To change any fraction into a percentage, we change the fraction into a decimal (by division if necessary) and change the decimal into a percentage. © T Madas
© T Madas
0.5 50% 1 2 0.4 40% 2 5 0.25 25% 1 4 0.9 90% 9 10 0.1 10% 1 10 0.35 35% 7 20 0.75 75% 3 4 0.12 12% 3 25 0.3 30% 3 10 0.44 44% 11 25 0.05 5% 1 20 0.01 1% 1 100 0.2 20% 1 5 0.06 6% 3 50 0.15 15% 3 20 0.125 12.5% 1 8 © T Madas
0.2 20% 1 5 0.6 40% 3 5 0.72 72% 18 25 0.7 70% 7 10 0.55 55% 11 20 0.45 45% 9 20 0.8 80% 4 5 0.18 18% 9 50 0.22 22% 11 50 0.32 32% 8 25 0.04 4% 1 25 0.03 3% 3 100 0.24 24% 6 25 0.14 14% 7 50 0.125 12.5% 1 8 0.375 37.5% 3 8 © T Madas
0.2 20% 1 5 0.8 80% 4 5 0.48 48% 12 25 0.91 91% 91 100 0.65 65% 13 20 0.85 85% 17 20 0.125 12.5% 1 8 0.38 38% 19 50 0.34 34% 17 50 0.28 28% 7 25 0.08 8% 2 25 0.07 7% 7 100 0.54 54% 27 50 0.42 42% 21 50 0.625 62.5% 5 8 0.875 87.5% 7 8 © T Madas
Test © T Madas
0.5 50% 1 2 0.4 40% 2 5 0.25 25% 1 4 0.9 90% 9 10 0.1 10% 1 10 0.35 35% 7 20 0.75 75% 3 4 0.12 12% 3 25 0.3 30% 3 10 0.44 44% 11 25 0.05 5% 1 20 0.01 1% 1 100 0.2 20% 1 5 0.06 6% 3 50 0.15 15% 3 20 0.125 12.5% 1 8 © T Madas
0.2 20% 1 5 0.6 40% 3 5 0.72 72% 18 25 0.7 70% 7 10 0.55 55% 11 20 0.45 45% 9 20 0.8 80% 4 5 0.18 18% 9 50 0.22 22% 11 50 0.32 32% 8 25 0.04 4% 1 25 0.03 3% 3 100 0.24 24% 6 25 0.14 14% 7 50 0.125 12.5% 1 8 0.375 37.5% 3 8 © T Madas
0.2 20% 1 5 0.8 80% 4 5 0.48 48% 12 25 0.91 91% 91 100 0.65 65% 13 20 0.85 85% 17 20 0.125 12.5% 1 8 0.38 38% 19 50 0.34 34% 17 50 0.28 28% 7 25 0.08 8% 2 25 0.07 7% 7 100 0.54 54% 27 50 0.42 42% 21 50 0.625 62.5% 5 8 0.875 87.5% 7 8 © T Madas
© T Madas
= = = = French German Italian The table below shows which foreign language did pupils prefer to learn. Which language did 10% of the girls prefer? Which language did 45% of the boys prefer? Which language was equally preferred by boys and girls? French German Italian Language Boys Girls x 10 1 10 10 100 = = 10% French 3 15% 45% 20% 1 10% 30% 20% 40% x 10 German 9 3 x 5 3 20 15 100 Italian 4 2 = = 15% x 5 Spanish 4 4 TOTAL 20 10 x 5 9 20 45 100 = = 45% x 5 x 5 4 20 20 100 = = 20% x 5 © T Madas
© T Madas
Riaz got the following marks in his end of year exams: English: Science: Maths: History: Change these marks into percentages 37 50 17 25 17 20 21 30 x 2 37 50 74 100 x 5 17 20 85 100 English: Maths: = = 74% = = 85% x 2 x 5 x 4 17 25 68 100 ÷ 3 21 30 7 10 x 10 70 100 Science: = Science: = 68% = = = 70% x 4 ÷ 3 x 10 © T Madas
© T Madas