Question

A recipe for homemade goop calls for 1/4 cup of cornstarch and 1 1/8 of glue. Find the lcm.

Answer 1

$2\frac{1}{4}$

Step-by-step explanation:

   $\frac{1}{4}$ cup of cornstarch and $1\frac{1}{8}$ cup of glue are required for a recipe.

   For any two given fractions $\frac{a}{b}$ , $\frac{c}{d}$ , the L.C.M  is given by $\frac{\textrm{L.C.M of numerators}}{\textrm{H.C.F of denominators}}$.

   The given fractions are $\frac{1}{4}$ and $1\frac{1}{8}$ = $\frac{1\textrm{x}8+1}{8}=\frac{9}{8}$

   L.C.M of numerators 1 and 9 = 9.

   H.C.F of denominators 4 and 8 = 4.

∴ L.C.M of $\frac{1}{4}$ and $1\frac{1}{8}$ is $\frac{9}{4}$ = $2\frac{1}{4}$