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Question

Ashley ate 214 of a cake, while Abby ate 123 of a cake. What is the total amount of cake consumed by Abby and Ashley?
Express the answer as the improper fraction

A
3512
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B
4212
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C
4712
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D
474
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Solution

The correct option is C 4712
Cake eaten by Abby =123
Cake eaten by Ashley =214

Let's convert each of the fraction into the improper fraction
123=3×1+23=53

214=4×2+14=94

Total cake eaten =53+94
As these are unlike fractions, convert them into the like fractions as follows

53=5×43×4=2012

94=9×34×3=2712

53+94=2012+2712

Now, add the two fractions
As the denominators of the fractions are the same, so the numerators can be added directly and the denominator remains the same.

=20+2712

=4712


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