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(1)/(4)`

Explanation:

`(1)/(4)` cup of cornstarch and
`1(1)/(8)` cup of glue are required for a recipe.

For any two given fractions
`(a)/(b)` ,
`(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
`(1)/(4)` and
`1(1)/(8)` =
`\frac{1\textrm{x}8+1}{8}=(9)/(8)`

L.C.M of numerators 1 and 9 = 9.

H.C.F of denominators 4 and 8 = 4.

∴ L.C.M of
`(1)/(4)` and
`1(1)/(8)` is
`(9)/(4)` =
`2(1)/(4)`