A cookie recipe calls for 5/8 cups of flour and 5/6 cup of sugar. What is the least common denominator of the fractions?
GOT A RIGHT TO SPEAK MY MIND LOL
Factors
6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40
To find the least common denominator (LCD) of the fractions 5/8 and 5/6, you need to find the smallest multiple that both 8 and 6 can divide into evenly.
One way to find the LCD is by finding the prime factors of the two denominators and multiplying the highest powers of these factors. In this case, the prime factors of 8 are 2 * 2 * 2 and the prime factors of 6 are 2 * 3.
To find the highest powers, we look at the factorization of each number: 8 = 2^3 and 6 = 2 * 3.
To get the LCD, we take the highest power of each prime factor and multiply them together: 2^3 * 3 = 8 * 3 = 24.
Therefore, the least common denominator (LCD) of 5/8 and 5/6 is 24.