Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 23, 2024

Encuentra el valor de $x$ que satisface la ecuación $\frac{x}{4}=\frac{4}{8}$ .

STEP 1

Question: What is the simplified form of the fraction $\frac{4}{8}$ ?
A) $\frac{1}{4}$ B) $\frac{1}{2}$ C) $\frac{2}{4}$ D) $\frac{8}{4}$
Answer: B) $\frac{1}{2}$

STEP 2

Question: What property of equality can we use to find the value of $x$ in the equation $\frac{x}{4}=\frac{1}{2}$ ?
A) If two fractions are equal, their cross products are equal B) If two fractions are equal, their differences are equal C) If two fractions are equal, their sums are equal D) If two fractions are equal, their denominators are equal
Answer: A) If two fractions are equal, their cross products are equal

STEP 3

Question: To solve for $x$ in $\frac{x}{4}=\frac{1}{2}$ , what operation should we perform on both sides of the equation?
A) Add 4 B) Subtract 2 C) Multiply by 4 D) Divide by 2
Answer: C) Multiply by 4

STEP 4

Question: After multiplying both sides of the equation by 4, what does the equation become?
A) $x = \frac{4}{2}$ B) $x = 4 \cdot \frac{1}{2}$ C) $x = \frac{4}{8}$ D) $4x = 2$
Answer: B) $x = 4 \cdot \frac{1}{2}$

STEP 5

Question: What is the final value of $x$ after simplifying $4 \cdot \frac{1}{2}$ ?
A) 1 B) 2 C) 4 D) 8
Answer: B) 2

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