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Fractions *
Fractions are commonly used in the Arabic system
| Question | Answer |
|---|---|
| Denominator | (number below the bar) tells us how many parts the whole is divided into |
| Numerator | (number above the bar) tells us how many of those parts exist |
| In a fraction, the numerator can be zero, but the denominator cannot be zero. Division by zero is undefined, therfore | no denominator can be zero |
| One way to think of a fraction is | as division that hasn't been completed |
| Fractions can be used to indicate | equal parts of a whole unit. |
| We can read 2/5 as | two-fifths, two over five or two divided by five. |
| Every fraction can be converted to a decimal by | dividing |
| 2/5 | o.4 |
| 1/8 | 0.125 |
| 1/2 | o.5 |
| 3/4 | 0.75 |
| Reciprocals | are two different fractions that equal 1 when multiplied together. |
| Every fraction has a reciprocal except | those fractions with zero in the numerator and denominator, or just turn the fraction over. |
| The reciprocal of 2 | 1/2 (2/1 * 1/2) |
| In order to add or subtract fractions | the fractions must have the same denominator or common denominators. To add or subtract like fractions just add or subtract the numerators and write the sum or difference over the common denominator. |
| To add or subtract fractions with different denominators | you must first find equivalent fractions with common denominators: First find the smallest multiple for the denominator of both numbers. Then rewrite the fractions as equivalent fractions with the smallest multiple of both numbers as the denominator. |
| Least Common Denominator | The smallest multiple of both numbers. |
| 1/3 + 3/5 | 1/3= 1x5 / 3x5= 5/153/5 = 3x3 / 5x3 = 9/15= 9+5/15 = 14/15 |
| To multiply fractions | first multiply the numerators of the fractions to get new numerator. Then multiply the demoninators of the fractions to get the new denominator. |
| To divide a number by a fraction | multiply the number by the reciprocal of the fraction. |
| 2/3 of 24 | 2/3 X 24/1 = 48/3 = 16 |
| 24 divided by 3 | The reciprocal of 1/3 is 324 X 3 = 72 |
| Divide 1/3 by 8 | 1/3 X 1/8 = 1/24 |