Question

.Is the following proportion true? How do you know?
4/5 = 25/40

Answer 1

4/ 5

is greater than

25 /40

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 5 and 40 is 40

For the 1st fraction, since 5 × 8 = 40,

4/ 5 = 4 × 8 5 × 8 = 32/ 40

Likewise, for the 2nd fraction, since 40 × 1 = 40,

25 /40 = 25 × 1 40 × 1 = 25/ 40

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

32 /40 > 25 /40 or 4 /5 > 25 /40

Answer 2

It is not true because if you multiply the denominator by 8, you will get 40 and if you also multiply the numerator by 8, you get 32 which is 32/40 which is not equal to 25/40.