Question

HL Cynthia Ann Not You m180/loader/ Block 5 > Topic 3: Adding and Subtracting Fractions SUCCESS ZONE 430 Kyra exercises at a gym for 1 hours. She stretches, lifts weights, runs, and showers. Kyra spends hour stretching, hour on weights, and hour showering. How much time does Kyra spend running? Fill in the blanks to solve the problem. hour. The time Kyra spends stretching, lifting weights, and showering is | The time Kyra spends running is 12 hours - hours = hour. 12

Answer 1

We know that

• She spends 1 2/3 hours in total.

,

• 1/4 hour stretching.

,

• 1/3 hour on weights.

,

• 1/3 hour showering.

First, let's sum the fractions for stretching, weights, and showering.

$\frac{1}{4}+\frac{1}{3}+\frac{1}{3}=\frac{1}{4}+\frac{2}{3}=\frac{3\cdot1+4\cdot2}{4\cdot3}=\frac{3+8}{12}=\frac{11}{12}$

Therefore, the time Kyra spends stretching, lifting weights, and showering is 11/12 hours.

Then, to find the time she spends running, we subtract.

$1\frac{2}{3}-\frac{11}{12}=\frac{5}{3}-\frac{11}{12}=\frac{12\cdot5-3\cdot11}{3\cdot12}=\frac{60-33}{36}=\frac{27}{36}=\frac{3}{4}$

Therefore, Kyra spends 3/4 hours running.