Answer:
[tex]\frac{1}{105}[/tex]
Step-by-step explanation:
Given: Fractions [tex]\frac{8}{15}\,,\,\frac{18}{35}[/tex]
To find: the largest number that these fractions can be divided by, so that the quotient will be a whole number
Solution:
Whole numbers are set of natural numbers together with 0. LCM is the smallest positive number that is a multiple of two or more numbers.
[tex]15=3\times 5\\35=5\times 7[/tex]
Therefore, LCM(15,35) = [tex]3\times 5\times 7[/tex] = 105
So, the largest number by which these fractions can be divided by, so that the quotient will be a whole number is [tex]\frac{1}{105}[/tex]
[tex]\frac{\frac{8}{15}}{\frac{1}{105}}=\frac{8}{15}\times 105=56\\\frac{\frac{18}{35}}{\frac{1}{105}}=\frac{18}{35}\times 105=54[/tex]
Here, 56 and 54 are whole numbers
