All categories

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

You might be interested in

: lCompare and contrast the rules for Adding and Subtracting positive andnegative numbers to the rules for Multiplying and Divid

Oksanka [162]

The rules of adding and subtracting positive and negative numbers include

1) When we add 2 positive numbers, the result is a positive number

2) When we subtract 2 positive numbers, the result would be positive as long as a smaller number is being subtracted from a bigger number, otherwise, the result would be negative

3)When we add 2 negative numbers, the result can be positive if we add the negative number to a bigger positive number or the result would be negative if we add the negative number to a lower positive number

4)When we subtract 2 negative numbers, the result is always negative

The rules of multiplying and dividing positive and negative numbers include

1) When we multiply 2 positive numbers, the result is always positive

2) When we multiply 2 negative numbers, the result is always positive

3) When we divide 2 positive numbers, the result is always positive

4) When we divide 2 negative numbers, the result is always positive

5) When we multiply or divide a positive number by a negative number, the result is always negative.

5 0

1 year ago

Add 0.5 kg, 50 mg, and 2.5 dg. Reduce the result to grams.

vredina [299]

Answer:

0.25g + 0.05g + 500g = 500.30g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.5kg to g

Each kg has 1000g. So

1kg - 1000g

0.5kg - xg

x = 1000*0.5

x = 500g

0.5kg = 500g

Second step: 50mg to g

Each g has 1000mg. So:

1g - 1000mg

xg - 50mg

1000x = 50

$x = \frac{50}{1000}$

x = 0.05g

50mg = 0.05g

Third step: 2.5dg to g

Each g has 10dg. So:

1g - 10dg

xg - 2.5dg

2.5x = 10

$x = \frac{2.5}{10}$

x = 0.25g

2.5 dg = 0.25g

Final step: Add

0.25g + 0.05g + 500g = 500.30g

8 0

3 years ago

What is the rule for that problem and there's only two steps to that problem

Arturiano [62]

Hope this can help you

5 0

3 years ago

This data set gives the height (in feet) of 15 rose plants in a garden: 5, 3, 4, 3, 2, 4, 1, 5, 5, 1, 1, 5, 4, 3, 5.

JulijaS [17]

Answer: It’s plot C

That’s because if you count how many fives there are then that’s how many dots same with four there two and one.

4 0

2 years ago

Read 2 more answers

4 is divided by the difference of 7 and a number.

love history [14]

The mathematical expression that represents the given statement is 4/(7-x)

<h3>Writing an Expression </h3>

From the question, we are to write a mathematical expression for the given statement

The given statement is

"4 is divided by the difference of 7 and a number."

First,

Let the number be x

"the difference of 7 and a number" means

7 - x

Thus,

"4 is divided by the difference of 7 and a number" is

4/(7-x)

Hence, the mathematical expression that represents the given statement is 4/(7-x)

Learn more on Writing and Expression here: brainly.com/question/4681624

#SPJ1

7 0

1 year ago