Find the sum of the two fractions your answer must be a mix number
To find the sum of two fractions, we need a common denominator.
Let's say we have the fractions: $\frac{a}{b}$ and $\frac{c}{d}$.
We can find a common denominator by multiplying $b$ and $d$ together:
$\text{common denominator} = b \times d$
In this case, we are given two fractions:
$\frac{7}{4}$ and $\frac{3}{2}$
The common denominator for the two fractions would be:
$\text{common denominator} = 4 \times 2 = 8$
Now, we need to rewrite the fractions with the common denominator.
$\frac{7}{4}$ can be rewritten as $\frac{7 \times 2}{4 \times 2} = \frac{14}{8}$
$\frac{3}{2}$ can be rewritten as $\frac{3 \times 4}{2 \times 4} = \frac{12}{8}$
We can add these two fractions together:
$\frac{14}{8} + \frac{12}{8} = \frac{14 + 12}{8} = \frac{26}{8}$
Now we have the fraction $\frac{26}{8}$.
To convert this fraction to a mixed number, we divide the numerator by the denominator:
$\frac{26}{8} = 3 \frac{2}{8}$
Therefore, the sum of the fractions $\frac{7}{4}$ and $\frac{3}{2}$ is $3 \frac{2}{8}$.