JACK'S CARAFE HOLDS 5 2/3 CUPS OF COFFEE. HE HAS COFFEE MUGS THAT HOLD 3/4 OF A CUP. HOW MANY MUGS CAN HE FILL? IF THERE IS COFFEE LEFT OVER,WHAT FRACTION OF A MUG WILL BE LEFT OVER?
2007-09-27 00:37:44 · 11 answers · asked by Ireney Weeney Beany Poo 2 in Science & Mathematics ➔ Mathematics
First you need to convert the mixed number into an improper fraction. You do this by multiplying the whole number by the denominator, then adding the numerator.
5⅔ = 5 x 3 + 2 = 17/3
Then divide the improper fraction by the proper fraction. To divide by a fraction, flip that fraction.
17/3 ÷ 3/4 = 17/3 x 4/3
17/3 x 4/3 = 68/9
7 5/9 mugs
Jack will be able to fill 7 full mugs, and 5/9 of a mug, or approximately 1/2 of a mug.
2007-09-27 00:50:23 · answer #1 · answered by Anonymous · 0⤊ 2⤋
you will fill the 3/4 cup mug 7 times and have enough left to fill the 3/4 cup mug, 2/3 of the way.
5 2/3 = 17/3 = 68/12
3/4 = 9/12
68/9 = 7 R 5
7 mugs
R 5 = 5/12
9/12 (size of mug) - 5/12 (liquid left) = 4/12 = 1/3 of empty space
2007-09-27 00:49:32 · answer #2 · answered by greid13 2 · 0⤊ 1⤋
carafe = 5 2/3 = 17/3
mug = 3/4
so mugs in a carafe = 17/3 / 3/4 = 17*4 / 3*3 = 68 / 9 = 7 5/9.
so he can fill 7 mugs, with 5/9 of a mug left over
.
2007-09-27 00:46:06 · answer #3 · answered by tsr21 6 · 0⤊ 1⤋
a million)initially in any concern like this you may desire to have an identical denominator (the form on the backside of the fraction) on the two fractions. to try this you may desire to discover the backside concern-loose denominator which may well be 12 for that reason. so which you multiply the proper and backside numbers of each and every fraction so as that the backside form equals 12. so on account that 4 x 3 = 12, 3 x 3 = 9. so its 9 over 12. the different fraction. 3 x 4 = 12 and a pair of x 4 = 8 so its 8 over 12. so all of it equals 9/12 - 8/12. right here you may merely subtract the numerators on suitable getting a million/12 it is your very final answer. 2) by skill of doing an identical factor in question a million you get 5/40 and 24/40. on account that there is an entire form you may turn the full form right into a fragment by skill of multiplying the full form with the recent denominator (40) and including it to the numerator. so its 240/40 + 5/40 = 245/40 = 245/40 - 104/40 = 141/40 by skill of simplifying you get 3 21/40
2016-10-09 22:09:53 · answer #4 · answered by ? 4 · 0⤊ 0⤋
5 2/3 divided by 3/4 = 7 5/9 mugs
5 /9 of the mug leftover
2007-09-27 00:45:16 · answer #5 · answered by XxSyNd3rXx 2 · 0⤊ 2⤋
4 mugs of coffee and 1/4 cup will be left over
5 2/3 + 3/4=17/3 + 3/4 = cross cancell the 3's=
17/4=divide 17 by 4=
4.25= 4 cups and 1/4 cup leftover
2007-09-27 00:43:39 · answer #6 · answered by laurae80 2 · 0⤊ 3⤋
5 2/3 ÷ 3/4 = 7 5/9
7 cups will be filled & 5/9 will be left.
2007-09-27 00:42:57 · answer #7 · answered by Flamezz 5 · 0⤊ 2⤋
5 times 2/3 =6 1/2 cups
2007-09-27 00:42:51 · answer #8 · answered by William B 7 · 0⤊ 3⤋
5 2/3 divided by 3/4 =
17/3 x 4/3 =
108/9 =
19 cups of coffee, (if you don't spill any).
2007-09-27 00:43:30 · answer #9 · answered by nora22000 7 · 0⤊ 3⤋
37 mugs of coffee
there willbe NO mugs of coffee left because Jack got up very late for work that day & was soo tired... so he GUZZLED all of the coffee down himself..
the end... : )
LOL
Any points for humor...?
lol
: )
2007-09-27 00:46:08 · answer #10 · answered by Anonymous · 0⤊ 1⤋