how would I estimate 2/5 + 7/9? or estimate a sum or difference in fractions in general
2/5 is just under half.
7/9 is almost 1
I'd estimate the sum to be just over 1.
To estimate the sum or difference of fractions, you can follow these steps:
Step 1: Find a common denominator for the fractions involved. In this case, the common denominator for 2/5 and 7/9 is 45.
Step 2: Convert each fraction to have the common denominator. For 2/5, multiply both the numerator and denominator by 9, resulting in 18/45. For 7/9, multiply both the numerator and denominator by 5, resulting in 35/45.
Step 3: Add or subtract the numerators of the fractions. In this case, adding 18/45 and 35/45 gives you 53/45.
Step 4: Simplify the fraction, if necessary. In this case, 53/45 is already in its simplest form.
So, an estimated sum of 2/5 + 7/9 is 53/45.
To estimate the sum or difference of fractions, you can follow these steps:
1. Find a common denominator: Start by identifying a common denominator for the fractions involved. This is a number that both denominators can evenly divide into. For example, to estimate 2/5 + 7/9, you could choose a common denominator like 45 (since both 5 and 9 divide evenly into it).
2. Convert the fractions: To convert the fractions to have the common denominator, you need to multiply the numerator and denominator of each fraction by a suitable factor. For 2/5, since 5 multiplied by 9 equals 45 (the common denominator we chose), you would multiply the numerator and denominator by 9, making it 18/45. Similarly, for 7/9, since 9 multiplied by 5 equals 45, you would multiply the numerator and denominator by 5, making it 35/45.
3. Perform the estimate: With the fractions converted to have the same denominator, you can perform the estimation. In this case, 18/45 + 35/45 gives you 53/45.
4. Simplify, if necessary: To simplify the fraction, check if the numerator and denominator have any common factors and cancel them out. In this case, 53/45 is already in its simplest form.
So the estimated sum of 2/5 + 7/9 is 53/45.