Question

1. $\frac{-3}{4} \div -2 =$
2. $0.53 - \frac{17}{100} = \frac{?}{100} - \frac{17}{100}$
3. $0.06 - \frac{21}{100} = \frac{?}{50} - \frac{21}{100}$
4. $-0.2(\frac{3}{10}) =$
5. the predicted temperature was $4^\circ$. if the actual temperature was $6^\circ$ colder, what was the actual temperature?
6. the temperature was $-3^\circ$. the temperature rose $10^\circ$. what is the current temperature?

Explanation:

Question 15

Step1: Recall division of fractions. Dividing by a number is multiplying by its reciprocal.

$\frac{-3}{4} \div (-2) = \frac{-3}{4} \times \frac{-1}{2}$

Step2: Multiply the numerators and denominators.

$\frac{(-3) \times (-1)}{4 \times 2} = \frac{3}{8}$

Step1: Add $\frac{17}{100}$ to both sides of the equation.

$0.53 - \frac{17}{100} + \frac{17}{100} = \frac{?}{100} - \frac{17}{100} + \frac{17}{100}$

Step2: Simplify both sides. The left side simplifies to 0.53, and the right side simplifies to $\frac{?}{100}$.

$0.53 = \frac{?}{100}$

Step3: Convert 0.53 to a fraction over 100.

$0.53 = \frac{53}{100}$, so $? = 53$

Step1: Add $\frac{21}{100}$ to both sides of the equation.

$0.06 - \frac{21}{100} + \frac{21}{100} = \frac{?}{50} - \frac{21}{100} + \frac{21}{100}$

Step2: Simplify both sides. The left side simplifies to 0.06, and the right side simplifies to $\frac{?}{50}$.

$0.06 = \frac{?}{50}$

Step3: Multiply both sides by 50 to solve for '?'.

$? = 0.06 \times 50 = 3$

Answer:

$\frac{3}{8}$

Question 16