What is 9 1/8 + 4 5/6 (Show work)

1 answer:

3 0

Answer:

13 23/24

Step-by-step explanation:

9 1/8 + 4 5/6

Step 1. Find the LCD (Least Common Denominator) for both mixed fractions

8: 8, 16, 24,…

6: 6, 12, 18, 24,…

Answer: 24

Step 2. Use the LCD (Least Common Denominator) to convert each of the fractions into new fractions

Answer:

9 1/8 = 9 3/24

4 5/6 = 4 20/24

Whichever number you multiplied to get the common denominator of 24 has to be multiplied to the numerator. Whole number stays the same

Step 3. Add

9 3/24 + 4 20/24 = 13 23/24
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Answer:

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

$y-y_{o} = m_{\parallel}\cdot (x-x_{o})$

Where:

$x_{o}$ , $y_{o}$ - Components of known point, dimensionless.

$m_{\parallel}$ - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Given that parent function is $y = \frac{3}{8}\cdot x$ , the slope of the resulting line is $m_{\parallel} = \frac{3}{8}$ . Now, if $x_{o} = 16$ and $y_{o} = 7$ , we obtain the equation of the line: