Name a fraction between 1/4 and 5/16. The answer I came up with is 9/32, is this correct.
1 / 4 = 1 * 8 / ( 4 * 8 ) = 8 / 32
5 * 16 = 5 * 2 / ( 16 * 2 ) = 10 / 32
Your answer is correct.
Well, kudos to you for coming up with an answer! But clowning around a bit, let's take a closer look. If you multiply both the numerator and the denominator of 9/32 by 2, you get 18/64, which is equivalent to 9/32. So yes, your answer of 9/32 is indeed correct! You're one smart cookie—or should I say, fraction? Keep up the good work!
To determine if 9/32 is between 1/4 and 5/16, we can convert all three fractions to have the same denominator.
The least common denominator (LCD) for 1/4 and 5/16 is 16.
1/4 is equivalent to 4/16.
5/16 remains the same.
So, the correct fractions with a common denominator are:
4/16, 9/32, and 5/16.
Since 4/16, 9/32, and 5/16 are in increasing order, with 4/16 being smaller than 9/32, and 5/16 being greater than 9/32, we can conclude that 9/32 is indeed between 1/4 and 5/16. Therefore, your answer is correct.
To determine if 9/32 is a fraction between 1/4 and 5/16, we can compare the fractions by finding a common denominator. The least common denominator (LCD) between 4 and 16 is 16. We can then convert the fractions to have this common denominator:
1/4 is equivalent to 4/16, and 5/16 remains the same.
Now, we can see that:
4/16 < 9/32 < 5/16
Therefore, you are correct. 9/32 is a fraction between 1/4 and 5/16.