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2 years ago

3 5/6 + 2 4/9 in its simplest form

Mathematics

2 answers:

cluponka [151]2 years ago

8 0

Answer:

>> $6\frac{5}{18}$

Step-by-step explanation:

1) Add the whole numbers first.

$5+\frac{5}{6} +\frac{4}{9}$

2) Find the Least Common Denominator (LCD) of $\frac{5}{6} ,\frac{4}{9}$ . In other words, find the Least Common Multiple (LCM) of $6,9$ .

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 6 : 6, 12, 18, ...

Multiples of 9 : 9, 18, ...

2. Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 18

3. Make the denominators the same as the LCD.

$5+\frac{5\times 3}{6\times 3}+\frac{4\times 2}{9\times 2}$

4. Simplify. Denominators are now the same.

$5+\frac{15}{18}+\frac{8}{18}$

5. Join the denominators.

$5+\frac{15+8}{18}$

6. Simplify.

$5+\frac{23}{18}$

7. Convert $\frac{23}{18}$ to mixed fraction.

$5+1\frac{5}{18}$

8. Simplify.

$6\frac{5}{18}$

Decimal Form: 6.277778

Cheers.

jok3333 [9.3K]2 years ago

4 0

Answer:

Step-by-step explanation:

3 5/6 + 2 4/9

= 23/6 + 22/9 = L.C.M = 18

= 23x3/6x3 + 22x2/9x2

= 69/18 + 44/18

Answer = 113/18

Mixed form = 6 5/18

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3 years ago

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Answer:

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Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

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2 years ago

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

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Answer:

Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $\frac{y_2-y_1}{x_2-x_1}$

Here points are given by (-3,0) and (-6,5)

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The slope of parallel lines are same. So slope of required line $=\frac{-5}{3}$

Equation of a line with slope m passing through origin is given by

y =mx

So equation of line, $y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0$

Equation of line , 5x + 3y = 0

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3 years ago

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