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MATH TIME

MATH TIME. Why don’t crabs share? First ½ of BEAN First 1/3 of CATTLE Last ¾ of FUSE Middle 1/3 of LATHER Last ½ of PREY First ¼ of REVIEWED Second 1/5 of WASHINGTON Last 3/5 of SWELL Last ½ of IF Last 2/3 of HIS First 1/7 of HEARING

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MATH TIME

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  1. MATH TIME

  2. Why don’t crabs share? First ½ of BEAN First 1/3 of CATTLE Last ¾ of FUSE Middle 1/3 of LATHER Last ½ of PREY First ¼ of REVIEWED Second 1/5 of WASHINGTON Last 3/5 of SWELL Last ½ of IF Last 2/3 of HIS First 1/7 of HEARING _ _ _ _ _ _ _ _ _ _ _ ‘ _ _ _ _ _ _ _ _ _ _ _ !

  3. What is the moral of this joke? The doctor at a mental hospital is testing three of his patients to determine if they are ready to be released. He asks the first guy, “What is 3 × 3?” “274,” says the first guy. The doctor asks the second guy, “What is 3 × 3?” “Tuesday,” replies the second guy. The doctor turns to the third guy. “Okay, your turn. What is 3 × 3?” “Nine,” says the third guy proudly. “That’s great!” says the doctor. “How did you get your answer?” “Simple,” says the third guy. “I subtracted 274 from Tuesday.” Sometimes we get the right answer for the wrong reason.

  4. FRACTIONS

  5. Use your calculator.  Seriously.  But be sure to use parentheses.

  6. Numerator Reminder: • Remember that any time your numerator and denominator are equal, the result is 1.  (This may come in handy with more complex fractions involving variables) Denominator

  7. Reciprocal is the fraction flipped • Ex: the reciprocal of • A Negative Reciprocal is the fraction flipped with the opposite sign • Ex: the negative reciprocal of • Ex: the negative reciprocal of - • Reciprocals of whole numbers, simply put a one in the numerator and the whole number as the denominator. • Ex: the negative reciprocal of 4 is

  8. If you do decide to do the math longhand… know that you can only add or subtract fractions when the denominator is the same.  So to add You would first need to multiply To multiply fractions, simply multiply the numerators straight across and multiply the denominators straight across: And then add the fractions with common denominators

  9. To divide fractions, flip and multiply.  • That is, set it up as (fraction __  fraction).  • Keep the first fraction the same, change the sign to times, and make the second fraction its own reciprocal. 

  10. COMPARING FRACTIONS • To compare fractions, type the fraction into your calculator to get the decimal value.  • On the SATs, it is almost never a good idea to try to find the lowest common denominator the way you were taught in school.  It just takes too long. • Example: • .95698 .95555 • So

  11. PRACTICE TIME

  12. Reciprocal of 27 • The negative reciprocal of -

  13. Practice with word problems involving fractions • What is the reciprocal of a fraction whose numerator is two and denominator is five? • What is the sum of two fractions if they both have denominators of seven and numerators of four and five? • Write the fraction that has a numerator that is half the amount of the denominator and which if you added numerator and denominator together you’d get a sum of 12.

  14. One half of a number is 3 more than one sixth of the same number. What is the number? (the word "is" usually means equal) Let the number be x. One half of the number is then  One sixth of the number is  and 3 more than that is  So you can write it in this equation: =

  15. Multiply both sides by 6 to eliminate the denominators:  • Subtract x from both sides to get the variable on the left:  • Divide both sides by 2:  ( ) x 6 = ( ) = ( ) =

  16. The denominator of a fraction is 5 more than the numerator. If 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is . What’s the original fraction? The denominator of a fraction is 5 more than the numerator. If 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. 

  17. Now cross multiply (x + 5) x 9 = (x + 7) x 8 = 9x + 45 = 8x + 56 -8x -8x x + 45 = 56 -45 -45 X = 11

  18. Insert the number 11 into the original equation =

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