Which of the following pairs of numbers contain like fractions ?
6/7 and 1 5/7
3/2 and 2/3
5/6 and 10/12
3 1/2 and 4 3/4
asdasd
I see one pair of like fractions. Which one do you think it is?
Which one has the same denominator??? That's your pick
To determine which pairs of numbers contain like fractions, we need to find if the fractions can be simplified to the same value.
Let's go through each pair of numbers:
1. 6/7 and 1 5/7:
To compare these fractions, we need to convert the mixed number 1 5/7 into an improper fraction. Multiply the whole number (1) by the denominator (7), then add the numerator (5). This gives us (7 * 1) + 5 = 12/7.
Now we have 6/7 and 12/7. Since these fractions have different denominators, they are not like fractions.
2. 3/2 and 2/3:
These are both simple fractions. To compare them, we need to find a common denominator. The smallest common denominator is 6.
Multiplying 3/2 by 3/3 gives us 9/6, and multiplying 2/3 by 2/2 gives us 4/6.
Now we have 9/6 and 4/6. Since these fractions have the same denominator, they are like fractions.
3. 5/6 and 10/12:
To compare these fractions, we can simplify them to their simplest form.
Dividing both the numerator and denominator of 5/6 by their greatest common divisor (which is 1) gives us 5/6.
Dividing both the numerator and denominator of 10/12 by their greatest common divisor (which is 2) gives us 5/6.
Now we have 5/6 and 5/6. Since these fractions are exactly the same, they are like fractions.
4. 3 1/2 and 4 3/4:
First, convert the mixed numbers into improper fractions. We have (2 * 3) + 1 = 7/2 and (4 * 4) + 3 = 19/4.
Now we have 7/2 and 19/4. To compare them, we need to find a common denominator. The smallest common denominator is 4.
Multiplying 7/2 by 2/2 gives us 14/4, and 19/4 remains as it is.
Now we have 14/4 and 19/4. Since these fractions have the same denominator, they are like fractions.
So, the pairs of numbers that contain like fractions are:
- 3/2 and 2/3
- 5/6 and 10/12
- 3 1/2 and 4 3/4