Use the LCD to rewrite the fractions with the same denominator. 5/6, 3/10
5/6 = 25/30
3/10 = ?\
To rewrite the fractions with the same denominator using the least common denominator (LCD), follow these steps:
Step 1: Identify the denominators of the fractions.
The denominators of the given fractions are 6 and 10.
Step 2: Find the least common multiple (LCM) of the denominators.
The LCM of 6 and 10 is 30.
Step 3: Rewrite the fractions with the same denominator by multiplying both the numerator and denominator of each fraction by a factor that makes the denominator equal to the LCD.
For the first fraction, 5/6:
To make the denominator 6 equal to 30, multiply both the numerator and denominator by 5:
(5/6) × (5/5) = 25/30
For the second fraction, 3/10:
To make the denominator 10 equal to 30, multiply both the numerator and denominator by 3:
(3/10) × (3/3) = 9/30
So, the rewritten fractions with the same denominator using the LCD of 30 are:
5/6 = 25/30
3/10 = 9/30