[tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] cup of cornstarch and [tex]1\frac{1}{8}[/tex] cup of glue are required for a recipe.
For any two given fractions [tex]\frac{a}{b}[/tex] , [tex]\frac{c}{d}[/tex] , the L.C.M is given by [tex]\frac{\textrm{L.C.M of numerators}}{\textrm{H.C.F of denominators}}[/tex].
The given fractions are [tex]\frac{1}{4}[/tex] and [tex]1\frac{1}{8}[/tex] = [tex]\frac{1\textrm{x}8+1}{8}=\frac{9}{8}[/tex]
L.C.M of numerators 1 and 9 = 9.
H.C.F of denominators 4 and 8 = 4.
∴ L.C.M of [tex]\frac{1}{4}[/tex] and [tex]1\frac{1}{8}[/tex] is [tex]\frac{9}{4}[/tex] = [tex]2\frac{1}{4}[/tex]
