T Madas T Madas To convert a decimal

© T Madas

© T Madas

To convert a decimal into a percentage, we multiply the decimal by 100 0. 3 x 100 30% 0. 7 x 100 70% 0. 65 x 100 65% 0. 45 x 100 0. 22 x 100 0. 05 x 100 0. 08 x 100 8% 0. 01 x 100 1% 1. 5 x 100 150% 45% 4 x 100 400% 22% 0. 318 x 100 31. 8% 5% 0. 175 x 100 17. 5% © T Madas

To convert a percentage into a decimal, we divide the percentage by 100 80% ÷ 100 0. 8 40% ÷ 100 0. 4 35% ÷ 100 0. 35 95% ÷ 100 43% ÷ 100 6% ÷ 100 2% ÷ 100 0. 02 1% ÷ 100 0. 01 250% ÷ 100 2. 5 0. 95 300% ÷ 100 3 0. 43 46. 5% ÷ 100 0. 465 0. 06 67. 1% ÷ 100 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 87% = 0. 87 12. 3% = 0. 123 90% = 0. 9 11% = 0. 11 76. 5% = 0. 765 10% = 0. 1 32% = 0. 32 62. 9% = 0. 629 55% = 0. 55 6% = 0. 06 150% = 1. 5 35% = 0. 35 1% = 0. 01 500% = 5 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 47% = 0. 47 19. 3% = 0. 193 80% = 0. 8 21% = 0. 21 46. 5% = 0. 465 40% = 0. 4 38% = 0. 38 92. 9% = 0. 929 65% = 0. 65 4% = 0. 04 250% = 2. 5 95% = 0. 95 1% = 0. 01 300% = 3 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 87% = 0. 87 12. 3% = 0. 123 90% = 0. 9 11% = 0. 11 76. 5% = 0. 765 10% = 0. 1 32% = 0. 32 62. 9% = 0. 629 55% = 0. 55 6% = 0. 06 150% = 1. 5 35% = 0. 35 1% = 0. 01 500% = 5 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 47% = 0. 47 19. 3% = 0. 193 80% = 0. 8 21% = 0. 21 46. 5% = 0. 465 40% = 0. 4 38% = 0. 38 92. 9% = 0. 929 65% = 0. 65 4% = 0. 04 250% = 2. 5 95% = 0. 95 1% = 0. 01 300% = 3 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 11 22 = 22% = 50 100 x 5 7 35 = 35% = 20 100 x 20 2 40 = 40% = 5 100 x 2 x 5 x 20 x 10 x 4 x 25 3 30 = 30% = 10 100 x 10 6 24 = 24% = 25 100 x 4 5 125 = 125% = 4 100 x 25 © T Madas

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 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 = 25% 4 1 = 12. 5% 8 1 = 20% 5 1 = 5% 20 1 = 33⅓% 3 © T Madas

What percentage of the bar is shaded? 3 = 30% 10 1 = 50% 2 3 = 37. 5% 8 4 = 80% 5 3 = 15% 20 1 = 33⅓% 3 © T Madas

What percentage of the bar is shaded? 7 = 70% 10 3 = 75% 4 1 = 12. 5% 8 3 = 60% 5 7 = 35% 20 2 = 66⅔% 3 © T Madas

What percentage of the bar is shaded? 9 = 90% 10 2 = 40% 5 5 = 62. 5% 8 9 = 45% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

What percentage of the bar is shaded? 6 = 60% 10 4 = 80% 5 3 = 37. 5% 8 11 = 55% 20 2 = 66⅔% 3 2 = 33 1 3 % 6 © T Madas

What percentage of the bar is shaded? 8 = 60% 10 3 = 60% 5 7 = 87. 5% 8 13 = 65% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

What percentage of the bar is shaded? 5 = 50% 10 2 = 40% 5 1 = 12. 5% 8 17 = 85% 20 2 = 66⅔% 3 very hard 5 = 83 1 3 % 6 © T Madas

What percentage of the bar is shaded? 8 = 80% 10 1 = 20% 5 3 = 37. 5% 8 19 = 95% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

© T Madas

What percentage of the bar is shaded? 1 = 10% 10 1 = 25% 4 1 = 12. 5% 8 1 = 20% 5 1 = 5% 20 1 = 33⅓% 3 © T Madas

What percentage of the bar is shaded? 3 = 30% 10 1 = 50% 2 3 = 37. 5% 8 4 = 80% 5 3 = 15% 20 1 = 33⅓% 3 © T Madas

What percentage of the bar is shaded? 7 = 70% 10 3 = 75% 4 1 = 12. 5% 8 3 = 60% 5 7 = 35% 20 2 = 66⅔% 3 © T Madas

What percentage of the bar is shaded? 9 = 90% 10 2 = 40% 5 5 = 62. 5% 8 9 = 45% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

What percentage of the bar is shaded? 6 = 60% 10 4 = 80% 5 3 = 37. 5% 8 11 = 55% 20 2 = 66⅔% 3 2 = 33 1 3 % 6 © T Madas

What percentage of the bar is shaded? 8 = 60% 10 3 = 60% 5 7 = 87. 5% 8 13 = 65% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

What percentage of the bar is shaded? 5 = 50% 10 2 = 40% 5 1 = 12. 5% 8 17 = 85% 20 2 = 66⅔% 3 very hard 5 = 83 1 3 % 6 © T Madas

What percentage of the bar is shaded? 8 = 80% 10 1 = 20% 5 3 = 37. 5% 8 19 = 95% 20 1 = 33⅓% 3 hard 1 = 16 2 3 % 6 © T Madas

• 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. 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

© T Madas

0. 5 50% 0. 25 25% 0. 1 10% 0. 75 75% 0. 3 30% 0. 05 5% 0. 2 20% 0. 15 15% 1 2 1 4 1 10 3 4 3 10 1 20 1 5 3 20 0. 4 40% 0. 9 90% 0. 35 35% 0. 12 12% 0. 44 44% 0. 01 1% 0. 06 6% 0. 125 12. 5% 2 5 9 10 7 20 3 25 11 25 1 100 3 50 1 8 © T Madas

0. 2 20% 0. 72 72% 0. 55 55% 0. 8 80% 0. 22 22% 0. 04 4% 0. 24 24% 0. 125 12. 5% 1 5 18 25 11 20 4 5 11 50 1 25 6 25 1 8 0. 6 40% 0. 7 70% 0. 45 45% 0. 18 18% 0. 32 32% 0. 03 3% 0. 14 14% 0. 375 37. 5% 3 5 7 10 9 20 9 50 8 25 3 100 7 50 3 8 © T Madas

0. 2 20% 0. 48 48% 0. 65 65% 0. 125 12. 5% 0. 34 34% 0. 08 8% 0. 54 54% 0. 625 62. 5% 1 5 12 25 13 20 1 8 17 50 2 25 27 50 5 8 0. 8 80% 0. 91 91% 0. 85 85% 0. 38 38% 0. 28 28% 0. 07 7% 0. 42 42% 0. 875 87. 5% 4 5 91 100 17 20 19 50 7 25 7 100 21 50 7 8 © T Madas

© T Madas

0. 5 50% 0. 25 25% 0. 1 10% 0. 75 75% 0. 3 30% 0. 05 5% 0. 2 20% 0. 15 15% 1 2 1 4 1 10 3 4 3 10 1 20 1 5 3 20 0. 4 40% 0. 9 90% 0. 35 35% 0. 12 12% 0. 44 44% 0. 01 1% 0. 06 6% 0. 125 12. 5% 2 5 9 10 7 20 3 25 11 25 1 100 3 50 1 8 © T Madas

0. 2 20% 0. 72 72% 0. 55 55% 0. 8 80% 0. 22 22% 0. 04 4% 0. 24 24% 0. 125 12. 5% 1 5 18 25 11 20 4 5 11 50 1 25 6 25 1 8 0. 6 40% 0. 7 70% 0. 45 45% 0. 18 18% 0. 32 32% 0. 03 3% 0. 14 14% 0. 375 37. 5% 3 5 7 10 9 20 9 50 8 25 3 100 7 50 3 8 © T Madas

0. 2 20% 0. 48 48% 0. 65 65% 0. 125 12. 5% 0. 34 34% 0. 08 8% 0. 54 54% 0. 625 62. 5% 1 5 12 25 13 20 1 8 17 50 2 25 27 50 5 8 0. 8 80% 0. 91 91% 0. 85 85% 0. 38 38% 0. 28 28% 0. 07 7% 0. 42 42% 0. 875 87. 5% 4 5 91 100 17 20 19 50 7 25 7 100 21 50 7 8 © T Madas

© T Madas

The table below shows which foreign language did pupils prefer to learn. ch n e 1. Which language did 10% of the girls prefer? Fr n a m 2. Which language did 45% of the boys prefer? Ger an i l a 3. Which language was equally preferred by boys and girls? It Language Boys Girls French 3 15% 1 10% German 9 45% 3 30% Italian 4 20% 2 20% Spanish 4 20% 4 40% TOTAL 20 10 x 10 1 10 = 10% x 10 100 x 5 3 20 = 15% x 5 100 x 5 9 20 = 45% x 5 100 x 5 4 20 = 20% x 5 100 © T Madas

© T Madas

Riaz got the following marks in his end of year exams: • English: 37 50 • Science: 17 25 • Maths: 17 20 • History: 21 30 Change these marks into percentages English: x 2 37 50 = 74% x 2 Science: x 4 17 25 = x 4 100 68 = 68% 100 x 5 Maths: 17 = 85% 20 x 5 Science: 100 ÷ 3 x 10 21 7 = 30 10 = 70% 100 © T Madas

© T Madas