(3/4) + (7/12):
you need to have both denominators the same, before you can add the numerators.
the LCD is 12, if you multiply (3/4) by 1, then it's value does not change.
Three-thirds (3/3) is equal to 1, so
3 3
-*- = (3*3) {multiply the numerators}/ (4*3) {multiply the denominators}= 9/12
4 3
so replace (3/4) above with (9/12) since they have the same value, and:
(9/12) + (7/12) =
9 + 7
------- = 16/12
12
This simplifies to 4/3, which is an improper fraction.
Think of it as (3 + 1)/3 = (3/3) + 1/3 = 1 + 1/3 or 1 1/3
Seven-twelfths
3/12 +3/4 First, line up the fractions. 3/12=1/4 (divide both the numerator and the denominator by 3, the LCM) +3/4=3/4 Make them have the same denominator 1/4 +3/4 4/4 or 1
1/2 = 6/122/3 = 8/123/4 = 9/12 (generally called quarters not fourths)(6+8+9)/1223/12one and eleven twelfths, or twenty-three twelfths
5 0ver 6 I always hated these questions in Algebra. But they're pretty simple, if you can make the two parts more equal. Since Twelfths and Fourths are different, you have to get them to be the same. It's easier to convert 4ths to 12ths, since Four Goes Into 12 Three times - so ONE FOURTH is the same as THREE TWELFTHS, right? That's the tricky part, right there - being able to see the relationship between FOURTHs and TWELFTHs. So 7/12ths plus 3/12ths is 10/12ths, right? Which is the same as 5/6ths. The first answerer didn't tell you HOW he got the answer, so you were no better off in case it came up again.
8/12, or 2/3
twelve and four twelfths
We convert this to twelfths to give: 10 twelfths + 4 twelfths + 9 twelfths = 23 twelfths or 1 and 11 twelfths.
Seven-twelfths
seven
Four twelfths plus one fourth can be simplified by converting one fourth into twelfths. One fourth is equivalent to three twelfths, so adding four twelfths and three twelfths gives you seven twelfths. Therefore, four twelfths plus one fourth equals seven twelfths.
3/12 +3/4 First, line up the fractions. 3/12=1/4 (divide both the numerator and the denominator by 3, the LCM) +3/4=3/4 Make them have the same denominator 1/4 +3/4 4/4 or 1
We convert the fractions to twelfths: 1 + 8 twelfths + 9 twelfths. 1 + 17 twelfths 2 and 5 twelfths.
1/2 = 6/122/3 = 8/123/4 = 9/12 (generally called quarters not fourths)(6+8+9)/1223/12one and eleven twelfths, or twenty-three twelfths
First we convert to the same type, which is twenty-fourths: 6 twenty-fourths + 9 twenty-fourths + 10 twenty-fourths = 25 twenty-fourths or 1 and 1 twenty-fourth.
7.75 OR 7 3/4 OR seven and three-fourths
2/4 + 3/12 = 2/4 + 1/4 = 3/4
nine and seven twelfths