Answer:
12 is the LCD (Least Common Denominator)
Skills needed: LCM (Least Common Multiple), Multiplication and Fractions
Step-by-step explanation:
1) So we need to find the LCD of [tex]\frac{5}{4} \text{ and } \frac{5}{6}[/tex]. This means we need to find a denominator that is a multiple of both 4 and 6. This means we are essentially trying to find the LCM of 4 and 6. LCM is the least common multiple, which is the first multiple common to both numbers.
2) LCM of 4 and 6
- Since both are smaller numbers, the easiest way to do this is by listing out the multiples of 4 and 6
- Multiples of 4: 4, 8, 12, 16, 20, 24...
- Multiples of 6: 6, 12, 18, 24, 30...
Above: We see that 12 is the first number to be common to both. Therefore 12 is the answer to this problem.
Hope this helps, have a nice day!
