compare to 1/2 to tell which fraction is greater
8/17 , 13/23
1/2 = 17/34 but 8/17 = 16/34
1/2 = 23/46 but 13/23 = 26/46
To compare fractions, such as 8/17 and 13/23, there are a couple of methods you can use. Let's consider both approaches:
Approach 1: Cross Multiplication
1. Cross multiply the numerators and denominators of the fractions. For instance, for 8/17 and 13/23, multiply 8 by 23 and 17 by 13.
8 x 23 = 184
17 x 13 = 221
2. Compare the products obtained in step 1. If the product obtained from the cross multiplication of the numerator and the denominator of the first fraction is greater than the product of the second fraction, then the first fraction is greater. Otherwise, if the product of the second fraction is greater, then the second fraction is greater.
In this case:
184 (from 8/17) < 221 (from 13/23)
So, 8/17 is lesser than 13/23.
Approach 2: Decimal Conversion
1. Divide the numerator by the denominator for both fractions to obtain their decimal values.
In this case:
8/17 ≈ 0.4706
13/23 ≈ 0.5652
2. Compare the decimal values obtained in step 1. If the decimal value of the first fraction is greater than the decimal value of the second fraction, then the first fraction is greater. Otherwise, if the decimal value of the second fraction is greater, then the second fraction is greater.
In this case:
0.4706 (from 8/17) < 0.5652 (from 13/23)
So, 8/17 is lesser than 13/23.
Both methods lead to the same conclusion, which is that 8/17 is less than 13/23.