Question

bjorn is making aush, and he does not have enough of all the ingredients. he decides to make $\frac{5}{6}$ of a whole recipe, which means he uses $1\frac{1}{4}$ l of water. how much water is in a whole recipe?

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$

Step2: Set up an equation

Let $x$ be the amount of water in a whole recipe. We know that $\frac{5}{6}$ of $x$ is $\frac{5}{4}$. So the equation is $\frac{5}{6}x=\frac{5}{4}$

Step3: Solve for $x$

$x=\frac{5}{4}\div\frac{5}{6}=\frac{5}{4}\times\frac{6}{5}=\frac{30}{20}=\frac{3}{2} = 1.5$

Answer:

$1.5$