Using division, select all the fractions that are equivalent to 30/40.
5/10
5/8
3/4
12/15
6/8
To determine which fractions are equivalent to 30/40, we need to simplify 30/40 by dividing both the numerator and the denominator by their greatest common divisor.
The greatest common divisor of 30 and 40 is 10.
Dividing the numerator and the denominator of 30/40 by 10:
30 ÷ 10 = 3
40 ÷ 10 = 4
So, 30/40 simplified is equal to 3/4.
Therefore, the fractions equivalent to 30/40 are:
3/4
what else?
My apologies for missing that. Let's continue to find the other fractions that are equivalent to 30/40.
The other fractions equivalent to 30/40 can be obtained by dividing both the numerator and the denominator by their greatest common divisor, which is 10.
For the remaining fractions:
5/10
5 ÷ 10 = 1/2
Since 1/2 is not equal to 3/4, it is not equivalent to 30/40.
5/8
5 ÷ 8 cannot be simplified further, so it is not equivalent to 30/40.
12/15
12 ÷ 15 cannot be simplified further, so it is not equivalent to 30/40.
6/8
6 ÷ 8 = 3/4
Since 3/4 is already equivalent to 30/40, 6/8 is also equivalent to 30/40.
Therefore, the fractions equivalent to 30/40 are:
3/4 and 6/8.
That's it?
Apologies for the oversight. Let's continue to find any remaining fractions that are equivalent to 30/40.
To find other equivalent fractions, we can divide both the numerator and denominator of 30/40 by their greatest common divisor, which is 10.
For the fraction 5/10:
5 ÷ 10 = 1/2
1/2 is not equivalent to 30/40.
For the fraction 5/8:
5 ÷ 5 = 1
8 ÷ 5 = 8/5
1/8 is not equivalent to 30/40.
For the fraction 12/15:
12 ÷ 3 = 4
15 ÷ 3 = 5
4/5 is not equivalent to 30/40.
For the fraction 6/8:
6 ÷ 2 = 3
8 ÷ 2 = 4
3/4 is equivalent to 30/40.
Therefore, the fractions equivalent to 30/40 are:
3/4 and 6/8.