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

Mathematics

1 answer:

evablogger [386]3 years ago

4 0

$2\frac{1}{4}$

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 $\frac{9}{4}$ = $2\frac{1}{4}$

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