find two fractions with a sum that is greater than 1.6 but less than 1.9. write your fractions in simplest form and compute their exact sum.
between 16/10 and 19/10
8/10 + 9/10
which is 4/5 and 9/10
sum is 17/10 or 1.7
hi my name is cordaija and i got a Question is Estimate the sum.
1
2
+
5
9
Less than 1
Greater than 1
To find two fractions with a sum between 1.6 and 1.9, we need to consider fractions that fall within that range. To simplify the process, we'll start by finding the simplest fractions that are slightly below and slightly above 1.6 and 1.9, respectively.
1. Finding the fraction below 1.6:
The whole number part can be either 1 or 0, as we want the fraction to be less than 1.6. Let's start with 1 as the whole number part. Therefore, the numerator will be 1 since we're looking for the simplest fraction. To find the denominator, we subtract 1 from 1.6, which gives us 0.6. We can approximate 0.6 as 6/10 (or simplify it as 3/5). So, the fraction below 1.6 is 1 and 3/5 or 1.6.
2. Finding the fraction above 1.9:
Again, the whole number part can be either 2 or 1, as we want the fraction to be greater than 1.9. Let's start with 2 as the whole number part. To find the numerator, we subtract 2 from 1.9, resulting in a negative value, which is not possible for a fraction. Therefore, we need to use 1 as the whole number part. To find the numerator, we subtract 1.9 from 1, which equals 0.1. We can approximate 0.1 as 1/10. Thus, the fraction above 1.9 is 1 and 1/10 or 1.1.
Now, let's compute the exact sum of these fractions:
1 and 3/5 + 1 and 1/10
To add these fractions, we need to make sure they have a common denominator, which in this case is 10.
1 and 3/5 = (5 * 1 + 3) / 5 = 8/5
1 and 1/10 = (10 * 1 + 1) / 10 = 11/10
Now we can add the fractions:
8/5 + 11/10
To add fractions, we need a common denominator, which is 10 in this case. Converting 8/5 to have a denominator of 10:
8/5 = (8 * 2) / (5 * 2) = 16/10
Now we can add them together:
16/10 + 11/10 = (16 + 11) / 10 = 27/10
Therefore, the sum of the fractions is 27/10 (or 2 and 7/10).
In summary, the two fractions are 1 and 3/5 (or 1.6) and 1 and 1/10 (or 1.1), and their exact sum is 27/10 (or 2.7).