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
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4212
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4712
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
474
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C4712 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.