SOLUTION: I would appreciate some help on these fractions please. 1) 1 1/2 x 5 2/3 2) 1 5/6 divided by 2 3) 2 1/2 divided by 3 1/3 could you please show me step by step I'm just lo

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I would appreciate some help on these fractions please. 1) 1 1/2 x 5 2/3 2) 1 5/6 divided by 2 3) 2 1/2 divided by 3 1/3 could you please show me step by step I'm just lo      Log On

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Question 179004: I would appreciate some help on these fractions please.
1) 1 1/2 x 5 2/3
2) 1 5/6 divided by 2
3) 2 1/2 divided by 3 1/3
could you please show me step by step I'm just lost on this
Thank you so much for any help
Found 3 solutions by stanbon, Mathtut, jim_thompson5910:
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
1) 1 1/2 x 5 2/3
(3/2) * (17/3) = 17/2 = 8 1/2
--------------------------------------
2) 1 5/6 divided by 2
(11/6) / (2/1) = (11/6)*(1/2) = 11/12
---------------------------------------
3) 2 1/2 divided by 3 1/3
(5/2) / (10/3) = (5/2)*(3/10) = 15/20 = 3/4
=========================================
Cheers,
Stan H.


Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
ok first we must convert these mixed fractions to improper fractions . Improper fractions are of the form whole number and fraction where as improper fractions take the form of a/b.
:
1 1/2 x 5 2/3
2) 1 5/6 divided by 2
3) 2 1/2 divided by 3 1/3
:
1)1 1/2=3/2
5 2/3=17/3
:
multiply %283%2F2%29%2A%2817%2F3%29=51%2F6=17%2F2
:
2)1 5/6=11/6
2=2/1
:
%2811%2F6%29%2F%282%2F1%29now invert bottom fraction and multiply
:
%2811%2F6%29%2A%281%2F2%29=11%2F12
:
2 1/2=5/2
3 1/3=10/3
:
%285%2F2%29%2F%2810%2F3%29again invert and multiply %285%2F2%29%2A%283%2F10%29=15%2F20=3%2F4

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Note: to multiply and divide fractions, you MUST convert mixed fractions to improper fractions. So for example, the mixed fraction 1%261%2F2 converts to the improper fraction 3%2F2 (ie 1%261%2F2=3%2F2)

If you need help (or just some practice) with converting fractions, check out this solver



# 1

Note: 1%261%2F2=3%2F2 and 5%262%2F3=17%2F3


So 1%261%2F2 times 5%262%2F3 becomes


%283%2F2%29%2A%2817%2F3%29


Solved by pluggable solver: Fractions Solver


%283%2F2%29%2817%2F3%29 Start with the given expression



In order to multiply these fractions, simply multiply the numerators and denominators separately like this:


%283%2A17%29%2F%282%2A3%29 Multiply the numerators 3 and 17. Place them as the numerator. Multiply the denominators 2 and 3. Place them as the denominator


51%2F6 Now multiply



So


%283%2F2%29%2817%2F3%29=51%2F6




If want to reduce the fraction, 51%2F6 reduces to 17%2F2 (note: click here if you need help with reducing fractions)





----------------------------------------------------

# 2

Note: 1%265%2F6=11%2F6 and 2=2%2F1


So 1%265%2F6 divided by 2 becomes


%2811%2F6%29%2F%282%2F1%29


Solved by pluggable solver: Fractions Solver


%2811%2F6%29%2F%282%2F1%29 Start with the given expression



In order to divide these fractions, first we need to flip the second fraction 2%2F1 to get 1%2F2.


Now multiply the first fraction 11%2F6 by the second fraction 1%2F2


%2811%2F6%29%281%2F2%29


Now simply multiply the numerators and denominators separately like this:


%2811%2A1%29%2F%286%2A2%29 Multiply the numerators 11 and 1. Place them as the numerator. Multiply the denominators 6 and 2. Place them as the denominator


11%2F12 Now multiply



So


%2811%2F6%29%2F%282%2F1%29=11%2F12







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# 3

Note: 2%261%2F2=5%2F2 and 3%261%2F3=10%2F3


So 2%261%2F2 divided by 3%261%2F3 becomes


%285%2F2%29%2F%2810%2F3%29


Solved by pluggable solver: Fractions Solver


%285%2F2%29%2F%2810%2F3%29 Start with the given expression



In order to divide these fractions, first we need to flip the second fraction 10%2F3 to get 3%2F10.


Now multiply the first fraction 5%2F2 by the second fraction 3%2F10


%285%2F2%29%283%2F10%29


Now simply multiply the numerators and denominators separately like this:


%285%2A3%29%2F%282%2A10%29 Multiply the numerators 5 and 3. Place them as the numerator. Multiply the denominators 2 and 10. Place them as the denominator


15%2F20 Now multiply



So


%285%2F2%29%2F%2810%2F3%29=15%2F20




If want to reduce the fraction, 15%2F20 reduces to 3%2F4 (note: click here if you need help with reducing fractions)






If you need help with dividing fractions, then take a look at this solver



If none of these solvers are helping, then feel free to email me.