which fraction is greater 15/31 or 27/50
Change them both to decimals. I think you'll see which is larger then.
10/21 < 15/28
To determine which fraction is greater, we can compare them by finding a common denominator and then comparing the numerators.
To find a common denominator for 31 and 50, we need to find the least common multiple (LCM) of both numbers.
The prime factors of 31 are 31, and the prime factors of 50 are 2, 5, and 5.
The LCM of 31 and 50 is therefore calculated by multiplying the highest power of each prime factor:
LCM = 31 * 2 * 5 * 5 = 1550.
Now, we can rewrite the fractions with the common denominator of 1550:
15/31 = (15 * 50) / (31 * 50) = 750/1550
27/50 = (27 * 31) / (50 * 31) = 837/1550
Comparing the numerators, we see that 837 is greater than 750. Therefore, the fraction 27/50 is greater than 15/31.