A scientist poured 2/3 of a liter of water into a cup and 3/10 of a liter of water into a jar which comparisons are true about the amounts of water the scientist poured? Answer choices. All that apply 3/10>2/3 , 2/3=3/10,2/3>3/10, 3/10=2/3,3/10<2/3
To compare the two amounts, we need to find a common denominator. The least common multiple of 3 and 10 is 30.
To convert 2/3 to a fraction with a denominator of 30, we multiply the numerator and denominator by 10:
2/3 = (2/3) * (10/10) = 20/30
To convert 3/10 to a fraction with a denominator of 30, we multiply the numerator and denominator by 3:
3/10 = (3/10) * (3/3) = 9/30
Now we can compare the two amounts:
20/30 = 2/3 > 9/30 = 3/10
Therefore, the correct comparisons are:
- 2/3 > 3/10
- 2/3 is not equal to 3/10
- 3/10 < 2/3