USE THE LCD TO DETERMINE WHICH FRACTION IS GREATER.
1/4,2/7
Don't you just times each other by the LCD (which is 28)
times 7 on 1/4 and get 7/28
times 4 on 2/7 and get 8/28?
So 7/28<8/28??
To compare the fractions 1/4 and 2/7 using the LCD (Least Common Denominator), you can follow these steps:
Step 1: Find the least common multiple (LCM) of the denominators (4 and 7).
The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...
The multiples of 7 are: 7, 14, 21, 28, 35, ...
The LCM of 4 and 7 is 28.
Step 2: Convert both fractions to have the same denominator (in this case, the LCD).
To convert 1/4 to an equivalent fraction with a denominator of 28, we multiply both the numerator and denominator by 7:
1/4 * 7/7 = 7/28.
To convert 2/7 to an equivalent fraction with a denominator of 28, we multiply both the numerator and denominator by 4:
2/7 * 4/4 = 8/28.
Now, the fractions are 7/28 and 8/28.
Step 3: Compare the numerators.
Since the denominators are the same, the fraction with the greater numerator is the greater fraction. In this case, 8/28 has a greater numerator than 7/28.
Therefore, the fraction 2/7 is greater than 1/4.