Question

homework 5.6 rational...

1. fill in the blanks

• to isolate the variable and determine the value of the var... operations.

instructions: solve each problem algebraically. check using...

1. ( 4 = b \times \frac{4}{7} )

answer ______

1. ( 5.54 = m + 1.3 )

answer ______

1. ( 1\frac{1}{3}g = 2\frac{2}{3} )

answer ______

Explanation:

Step1: Isolate $b$ by subtracting $\frac{4}{7}$

$4 - \frac{4}{7} = b$

Step2: Convert to common denominator

$\frac{28}{7} - \frac{4}{7} = b$

Step3: Simplify to find $b$

$b = \frac{24}{7} = 3\frac{3}{7}$

Step1: Isolate $m$ by subtracting 1.3

$5.54 - 1.3 = m$

Step2: Calculate the difference

$m = 4.24$

Step1: Convert mixed numbers to improper fractions

$\frac{4}{3}g = \frac{8}{3}$

Step2: Isolate $g$ by multiplying by $\frac{3}{4}$

$g = \frac{8}{3} \times \frac{3}{4}$

Step3: Simplify to find $g$

$g = 2$

Answer:

$b = 3\frac{3}{7}$
$m = 4.24$
$g = 2$