Problem 399 Simplify. $$ \frac{4 \cdot 3... [FREE SOLUTION]

Chapter 1: Problem 399

Simplify. $$ \frac{4 \cdot 3}{6 \cdot 6} $$

Short Answer

Expert verified

Simplify the fraction multiplied. Divide same number we have\frac{\boxed{#1}}{\boxed{#2}} 4/6.The value given \boxed is the answer

Step by step solution

Multiply the Numerator

Multiply the numbers in the numerator: \begin{align*} 4 \times 3 = 12 \text{The numerator is now 12.}\text{ewline So, we have:} \frac{12}{6 \times 6} \text{} ewcommand{\frac}[2]{\frac{\boxed{#1}}{\boxed{#2}}} \frac{12}{36}\text{ewline $12 is on top, 36 on bottom.}$ \text{ewline Check next:} 3. \text{ewline$\frac{4 \times 3}{6 \times 6} \rightarrow \frac{4 \times 3}{ 6 = 36 } = 4 \times

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Fractions

Fractions are a way of representing parts of a whole. Every fraction consists of a numerator and a denominator. The numerator is the top number, which represents the part we are considering. The denominator is the bottom number, which shows the total number of equal parts the whole is divided into.
For example, in the fraction $\frac{4 \times 3}{6 \times 6}$, 4 and 3 are multiplied together to form the numerator, and 6 and 6 are multiplied together for the denominator. Understanding the difference between the numerator and the denominator is key to working with fractions efficiently.

Multiplication of Fractions

Multiplying fractions might sound tricky, but it's actually straightforward. You just multiply the numerators together and the denominators together.
Let's see this in action with our problem: $\frac{4 \times 3}{6 \times 6}$. Start by multiplying the numbers in the numerator: 4 and 3. This gives us 12.
Next, multiply the numbers in the denominator: 6 and 6. This results in 36. So, we now have the fraction $\frac{12}{36}$ before simplification.

Numerator: 4 $\times$ 3 = 12
Denominator: 6 $\times$ 6 = 36

Now, you have effectively multiplied the fractions!

Simplification of Fractions

Simplifying fractions means reducing them to their simplest form. This involves finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.
For example, we have the fraction $\frac{12}{36}$. First, find the GCD of 12 and 36, which is 12.

12 divided by 12 is 1.
36 divided by 12 is 3.

After dividing both the numerator and the denominator by their GCD (12), the fraction simplifies to $\frac{1}{3}$. Thus, $\frac{12}{36}$ in its simplified form is $\frac{1}{3}$. Simplification makes fractions easier to understand and work with.

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91影视

Simplify. $$ \frac{4 \cdot 3}{6 \cdot 6} $$

Short Answer

Step by step solution

Multiply the Numerator

Key Concepts

Fractions

Multiplication of Fractions

Simplification of Fractions

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