Question

#7 evaluate the expression below. simplify your answer.
$\frac{2}{7} \times 4$
#8 change the mixed number to an improper fraction.
$3\frac{4}{9}$

Explanation:

Problem #7:

Step1: Multiply numerator by 4

To multiply a fraction $\frac{2}{7}$ by an integer 4, we multiply the numerator of the fraction by the integer. So, we have $\frac{2\times4}{7}$.

Step2: Calculate the numerator

Calculating $2\times4$ gives us 8. So the expression becomes $\frac{8}{7}$. We can also write this as a mixed number, but since the problem just says to simplify, $\frac{8}{7}$ is in simplest form (or as a mixed number $1\frac{1}{7}$). But let's check the multiplication again. Wait, the original expression is $\frac{2}{7}\times4$. So $\frac{2\times4}{7}=\frac{8}{7}=1\frac{1}{7}$.

To convert a mixed number $3\frac{4}{9}$ to an improper fraction, we use the formula: $a\frac{b}{c}=\frac{a\times c + b}{c}$, where $a = 3$, $b = 4$, and $c = 9$.

Step1: Multiply the whole number by the denominator

First, calculate $3\times9 = 27$.

Step2: Add the numerator

Then add the numerator: $27 + 4 = 31$.

Step3: Write as improper fraction

So the improper fraction is $\frac{31}{9}$.

Answer:

$\frac{8}{7}$ (or $1\frac{1}{7}$)

Problem #8: