Comparing fractions with Key

Comparing fractions 1. There are many ways to compare fractions number lines, common denominator and making the fraction into a decimal Number line Create a number line and have a positive and negative side. Place the fractions on the number line the closer to the right side the bigger the fraction you can also change the fraction to decimal point it’s more accurate this way. Common denominator When finding a common denominator you need to fine the GCT the greatest common factor 3 and 5 both share 15. Is there a smaller numbers that 3 and 5 both go into…..no so 15 is the GCF.if you change the denominator you must do the same to the numerator so if you multiply the denominator by 3 you must multiply the numerator by 3.This rule applies for negative fractions as well. Note of one of the denominators go into the other multiply the amount of times it goes into hat number like how 6 goes into 12 two times so multiply the numerator and denominator by two. Turning fractions into decimals Making fractions into a decimal point is as easy as it gets if the fraction is 3 over 5 type into you’re calculator 3 divided 5 you should get 0.6 the bigger the decimal point the bigger the fraction. This is the same for negative fraction Note if the decimal is repeating the same number place a line over the last number to Show it’s repeating. Turning improper fractions to mixed To turn a improper fraction to a mixed fraction divide the numerator day the denominator so 7 divided by 2 =3.5 so you have three whole fractions and one half. 2.ordering fractions from leas to greatest The first thing you want to do is change the fraction to decimal point by typing in you’re calculator ( numerator Dividend by the denominator) so if you have 2 over 3 type in 2 divided by 3 and you should et 0.666 but you can Write down .666 to save some time. Do this for all of them Now that you have finished turning the fractions in to Decimal points put them in to Order if they are asking you to put them in leas to greatest then put smaller numbers to bigger numbers unless the fractions negative then do the opposite. Note If it’s negative it gose left to right and if it is positive then it gose right to left changing a mixed fractions into an improper fractions 3. To change a mixed fraction into an improper fraction multiply the whole fraction by the denominator and add the numerator to get you’re new numerator. This applies to fractions as well. Adding and subtracting fractions 4. Adding To add a fraction if it’s a improper fraction make all the fractions proper first then once all the fractions are proper add the numerators together and you’ve got you’re answer. Subtracting When subtracting it is easier to work with improper fractions. Afterward subtract the numerators to get you’re answer be aware that the answer might me negative . Multiplying fractions 6. When you’re multiplying fractions it’s easier to work with improper fractions.after there all improper fractions multiply both the numerator and the denominator with each other to get you’re answer . Note when multiplying two negatives equal a positive Dividing fractions 7. When you’re dividing fractions flip the last fraction so the denominator is on the top and the numerator is on the bottom then multiply the two fractions together to get you’re answer. Applying the order of operations (BEDMAS) 8. When you’re applying the order of options follow the rules of bedmas brackets, exponents, division, multiplication, adding and subtracting. If there are brackets do them first as shown in the equation down below. Note if the fraction is 4 over 4 then it’s just one