SOLUTION: What is 12 3/4 ÷ 2 1/10

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Question 935488: What is 12 3/4 ÷ 2 1/10
Found 3 solutions by josgarithmetic, TimothyLamb, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(1)Change to improper fractions
(2)Multiply the dividend by the reciprocal of the divisor
(3)Simplify


%2812%2B3%2F4%29 DIV BY %282%2B1%2F10%29

%2848%2B3%29%2F4 DIV BY %2820%2B1%29%2F10

51%2F4 DIV BY 21%2F10

%2851%2F4%29%2810%2F21%29

%283%2A17%2A2%2A5%29%2F%282%2A2%2A3%2A7%29

%28cross%283%29%2A17%2Across%282%29%2A5%29%2F%282%2Across%282%2A3%29%2A7%29

highlight_green%2885%2F14%29
'
highlight%286%261%2F14%29

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
a = 12 3/4 = 48/4 + 3/4 = 51/4
b = 2 1/10 = 20/10 + 1/10 = 21/10
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a/b = (51/4)/(21/10)
a/b = (51/4)*(10/21)
a/b = 510/84
a/b = (255*2)/(42*2)
a/b = 255/42
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What is 12 3/4 ÷ 2 1/10
12%263%2F4 ÷ 2%261%2F10
51%2F4 ÷ 21%2F10 -------------- Converting mixed numbers to IMPROPER FRACTIONS
%2851%2F4%29+%2A+%2810%2F21%29 ------------ Changing the DIVISION SYMBOL to MULTIPLICATION, and INVERTING the DIVISOR
%2817cross%2851%29%2F2cross%284%29%29+%2A+%285cross%2810%29%2F7cross%2821%29%29 ---- Cancelling numerators and denominators with GCFs
85%2F14_____highlight_green%28highlight_green%286%261%2F14%29%29
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