Simplify 1/4+4/3b+7/12

$\frac{1}{4} + \frac{4}{3} b + \frac{7}{12}$

Step 1

Combine $\frac{4}{3}$ and $b$ .

$\frac{1}{4} + \frac{4 b}{3} + \frac{7}{12}$

Step 2

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4 b}{3} + \frac{1}{4} \cdot \frac{3}{3} + \frac{7}{12}$

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{4 b}{3} + \frac{3}{4 \cdot 3} + \frac{7}{12}$

Multiply $4$ by $3$ .

$\frac{4 b}{3} + \frac{3}{12} + \frac{7}{12}$

Step 4

Simplify the expression.

Combine the numerators over the common denominator.

$\frac{4 b}{3} + \frac{3 + 7}{12}$

Add $3$ and $7$ .

$\frac{4 b}{3} + \frac{10}{12}$

Step 5

Cancel the common factor of $10$ and $12$ .

Factor $2$ out of $10$ .

$\frac{4 b}{3} + \frac{2 (5)}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$\frac{4 b}{3} + \frac{2 \cdot 5}{2 \cdot 6}$

Cancel the common factor.

$\frac{4 b}{3} + \frac{2 \cdot 5}{2 \cdot 6}$

Rewrite the expression.

$\frac{4 b}{3} + \frac{5}{6}$