Question

craigs friend cant eat wheat, so craig is baking him a loaf of gluten-free raisin bread. he mixes the dough and leaves it in a bowl to rise. then, craig forms the dough into a loaf and puts it in a pan to rise for another $\frac{1}{4}$ of an hour. in all, the dough rises for $1\frac{1}{2}$ hours.
use an equation to find the amount of time the dough rises in the bowl.
to write a fraction, use a slash ( / ) to separate the numerator and denominator.
_______ hours

Explanation:

Step1: Define variable for bowl rise time

Let $x$ = time (hours) dough rises in bowl.

Step2: Set up total rise time equation

Total rise time = bowl time + pan time:
$$x + \frac{1}{4} = 1\frac{1}{2}$$

Step3: Convert mixed number to fraction

Rewrite $1\frac{1}{2}$ as improper fraction:
$$1\frac{1}{2} = \frac{3}{2}$$

Step4: Solve for $x$

Subtract $\frac{1}{4}$ from both sides, use common denominator 4:
$$x = \frac{3}{2} - \frac{1}{4} = \frac{6}{4} - \frac{1}{4}$$

Step5: Calculate final value

Simplify the fraction:
$$x = \frac{5}{4}$$

Answer:

$\frac{5}{4}$ hours