Tina completed 2/3 of her homework before dinner. George completed 5/8 of his homework before dinner. Who completed a greater fraction of homework
2/3 = 16/24
5/8 = 15/24
To determine who completed a greater fraction of homework, we need to compare the fractions 2/3 and 5/8.
First, let's find a common denominator for these fractions. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on. The multiples of 8 are 8, 16, 24, 32, and so on. As we can see, 24 is the smallest common denominator between 3 and 8.
Next, we need to convert the fractions to have this common denominator.
For 2/3, we multiply the numerator and denominator by 8 (common denominator/3) to get (2/3) * (8/8) = 16/24.
For 5/8, we multiply the numerator and denominator by 3 (common denominator/8) to get (5/8) * (3/3) = 15/24.
Now that both fractions have a common denominator of 24, we can compare them.
The fraction 16/24 represents the amount of homework Tina completed, while the fraction 15/24 represents the amount of homework George completed.
Since 16/24 is greater than 15/24, Tina completed a greater fraction of homework than George.