Question

Express the fractions 1/2, 3/26, and 7/8 with an LCD?

Answer 1

Factors for 2 is just 2, since it's a prime.

factors for 26 are 2 and 13.

factors for 8 are 2, 2 and 2.

since the 2 is repeated on all 3, we'll use it in the LCD only once.

therefore, the LCD will be 2 * 13 * 2 * 2, or 104.

now, what we do is, divide each denominator by the LCD, and whatever quotient we get, we multiply it top and bottom by it, so let's do so,

$\bf \boxed{\cfrac{1}{2}}\qquad 104\div 2=52\qquad thus\qquad \cfrac{1\cdot 52}{2\cdot 52}\implies \boxed{\cfrac{52}{104}} \\\\\\ \boxed{\cfrac{3}{26}}\qquad 104\div 26=4\qquad thus\qquad \cfrac{3\cdot 4}{26\cdot 4}\implies \boxed{\cfrac{12}{104}} \\\\\\ \boxed{\cfrac{7}{8}}\qquad 104\div 8=13\qquad thus\qquad \cfrac{7\cdot 13}{8\cdot 13}\implies \boxed{\cfrac{91}{104}}$

Answer 2

52/104, 12/104, 91/104