Civil Service Exam Prep!!!| Questions And Answers | Graded A+

Civil Service Exam Prep!!! | Questions And Answers | Graded A+ Numerator ✔✔The whole number that appears on the top of a fract ion. ?/D Denominator ✔✔The number that appears on the bottom of the fraction. N/? Proper fraction ✔✔The numerator is smaller than the denominator. Ex. 1/2 Improper fraction ✔✔The numerator is larger than the denominator. Ex. 2/1 Mixed numbers ✔✔A mixed number consists of a whole number and a proper fraction. A improper fraction can be written into a mixed number. How do you convert an improper fraction into a mixed number? ✔✔1. Divide the numerator by the denominator. The result will be a whole number, with or without a remainder. 2. Write the whole number. 3. If there is a remainder, write a fraction with the rema inder in the numerator and the original denominator in the denominator. Ex. Convert 17/5 to a mixed number? 17/5=3 with a remainder of 2 17/5=3 2/5 How do you convert a mixed number into a improper fraction? ✔✔1. Multiply the whole number in the mixe d number by the denominator of the fraction. 2. Add the result to the numerator of the fraction. Ex. Convert 5 1/6 to an improper fraction. 5x6= 30 30+1= 31 5 1/6= 31/6 When should you convert mixed numbers into improper fractions? ✔✔Whenever you are asked to multiply or divide mixed numbers How do you reduce a fraction? ✔✔You reduce a fraction by dividing both the numerator and the denominator by a single value that divides evenly into both of them. Ex. Reduce 5/10? Both 5 and 10 are divisible by 5 5/5=1 10/5=2 5/10= 1/2 Key words for equal? ✔✔Is, are, has, was, were, had Key words for addition? ✔✔Sum, together, more, total, greater, or older than Key word for multiplication? ✔✔Product, times, of Keywords of division? ✔✔Per, evenly Key words of subtraction? ✔✔Difference, less than, fewer, or younger than, remain, left over example of key words for subtraction. Jacob has 5 fewer than Leslie? ✔✔Would be Leslie -5=Jacob Distance formula problems include key words such as? ✔✔speed, plan e, train, boat, car, walk, run, climb, and swim Distance Formula ✔✔Rate x Time = Distance Key word in the distance formula provide 2 of the 3 elements ✔✔rate, time, distance Plug those 2 elements into the formula and solve for the third Rate and time h ave to be measured into common units ✔✔If the rate is measured in miles per hour, the time has to be measured in hours, not minutes or days 2 ways to solve word problems ✔✔1. Translate the problem into an algebraic equation and then solve for the missing information 2. Work backwards by plugging in one of the answer choices A neat trick to see if a number is divisible by 3. ✔✔Add all of its digits. If the sum of the digits is divisible by 3, the number itself is divisible by 3. Ex. Is 132 divisible by 3? 1+3+2=6 6/3=2 Which means that 132 is divisible by 3. This method also works for 9. Raising fraction to higher terms ✔✔It allows you to rewrite a fraction with a larger numerator and denominator When would you usually have to raise a fraction to higher terms ✔✔you often have to raise one or more fractions to higher terms in order to add or subtract them How to add fractions that have common denominators ✔✔simply just add the numerators and write the result over the denominato r. Do not add the denominators Ex. 3/12+6/12= 9/12 How to add mixed numbers ✔✔add the whole numbers together, and then add the numerators together and place them over the denominators. Do not add the denominators. Ex. 3 3/12 + 6 3/12= 9 6/12 Reduced equ als 9 1/2 If the sum of the 2 fractions happen to be an improper fraction ✔✔You must convert the improper fraction into a mixed number 4/7 + 6/7 = 10/7 so converted into a mixed number it would be 1 3/7 when can you not add fraction? ✔✔You cannot add fr actions unless it has a common denominator how to find a common denominator ✔✔Look at the denominators of all the fractions in the problem. Do they all divide evenly into the largest denominator? If they do that number is your common denominator. If they don't, run through the multiplication table of the largest denominator until you find a number that all the other denominators divide into evenly. Ex. 2/3 + 1/5 = 2x5=10 3x5=15 = 10/15 1x3=3 5x3=15 = 3/15