Question

# Find the least common denominator 1) \frac{4}{5} \frac{5}{6} 2) \frac{5}{8} \frac{1}{6} 3) \frac{4}{5} \frac{1}{3}

Factors and multiples
Find the least common denominator
1) $$\displaystyle{\frac{{{4}}}{{{5}}}}{\frac{{{5}}}{{{6}}}}$$
2) $$\displaystyle{\frac{{{5}}}{{{8}}}}{\frac{{{1}}}{{{6}}}}$$
3) $$\displaystyle{\frac{{{4}}}{{{5}}}}{\frac{{{1}}}{{{3}}}}$$

2021-08-02
We are solving the first three questions and for the next questions and post the question again and also mention the question number to be solved.
1) Given: the fractions are $$\displaystyle{\frac{{{4}}}{{{5}}}}{\frac{{{5}}}{{{6}}}}$$
Here, the denominators are 5 and 6.
The multiples of 5 are 5,10,15,20,25,30,35,40,45, ...
The multiples 6 are 6,12,18,24,30,36,42,48, ...
The least common denominator is 30.
2) Given: the fractions are $$\displaystyle{\frac{{{5}}}{{{8}}}}{\frac{{{1}}}{{{6}}}}$$.
Here, the denominators are 8 and 6.
The multiples of 8 are 8,16,24,32,40, ...
The multiples of 6 are 6,12,18,24,30,36, ...
The least common denominaator is 24.
3) Given: the fractions are $$\displaystyle{\frac{{{4}}}{{{5}}}}{\frac{{{1}}}{{{3}}}}$$
Here, the denominators are 5 and 3.
The multiples of 5 are 5,10,15,20,25,30,35, ...
The multiples of 3 are 3,6,9,12,15,18,21, ...
The least common denominator is 15.