Question

Which of the fractions shown has the greatest value?

Answer 1

Answer:

2/10

Step-by-step explanation:

Answer 2

Greetings!

The best way to compare fractions is to find the LCM (The Lowest Common Denominator) of each of the fractions. This can be done simply by listing the multiples of the denominators.

Multiples:
3: 3,6,9,12,15,18,21,24,27...210,213
10:10,20,30,40,60,70,80...210,220
6: 6,12,18,24,30,36,42,48...210,216
7: 7,14,21,28,35,42,49...210,217

The LCM is 210:
3*70=210
10*21=210
6*35=210
7*30=210

Now, we must do what we do the denominators to the numerators:
1*70=70
70/210
2*21=42
42/210
1*35=35
=35/210
2*30=60
=60/210

The fraction with the largest numerator has the greatest value; In this case it 1/3 or 70/210.

Hope this helps.
-Benjamin