Question

which choices are equivalent to the fraction below check all the apply ""24" over 30

A 3/4
B4/5
C 3/5
D8/10
E 14/20
F 7/10

Answer 1

Answer:

c) The reduced form of the given fraction   $\frac{24}{30} =  \frac{4}{5}$

Step-by-step explanation:

Here, the given expression is  "24 over 30".

The given expression is  is equivalent to $\frac{24}{30}$

Now by Prime Factorization:

24  =  2 x 2 x 2 x 3

30  = 2 x 3 x 5

⇒ The common factors in 24 and 30 is  2 x 3  = 6

So, $\frac{24}{30}  = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5}   = \frac{6 \times 4}{6 \times 5}   = \frac{4}{5}$

Hence the reduced form of the given fraction   $\frac{24}{30} =  \frac{4}{5}$