Last night 16/28 of the tenth grade girls and 19/30 of the tenth grade boys went to go ice skating. Did a greater fraction of tenth grade girls or boys went ice skating? Prove it.
16/28 = 57.14 %
19/30 = 63.33%
To determine which group had a greater fraction of students go ice skating, we need to compare the fractions of girls and boys separately.
Let's start by finding the fraction of tenth grade girls who went ice skating. We know that 16 out of 28 girls went, so the fraction of girls who went ice skating can be expressed as 16/28.
Next, let's find the fraction of tenth grade boys who went ice skating. Given that 19 out of 30 boys went, the fraction of boys who went ice skating can be written as 19/30.
To compare the two fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 28 and 30 is 840.
Now we can convert the fractions to have the same denominator:
Fraction of girls = (16/28) * (30/30) = 480/840
Fraction of boys = (19/30) * (28/28) = 532/840
We can see that the fraction of boys who went ice skating, 532/840, is greater than the fraction of girls, 480/840.
Hence, a greater fraction of tenth grade boys went ice skating compared to the girls.