Featured 6 days ago

In order to add or subtract fractions, they must have the same denominator, called the least common denominator (LCD). To find the least common denominator, write the multiples for each denominator. The lowest (least) multiple in common is the LCD.

The LCD is

The first fraction needs to be multiplied by

Multiply.

Place the numerators over the denominator

Simplify.

Featured 6 days ago

The answer is

Use the order of operations

#color(red)"P"# = parentheses

#color(blue)"E"# = exponents

#color(orange)"MD"# = multiplying and dividing

#color(violet)"AS"# = adding and subtracting

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

within parentheses, we start over with#"PEMDAS"#

#(9-3^2) color(white)"XXXXXXX"# No#color(red)"P"# arentheses

#(9-color(blue)(3^2)) color(white)"XXxxxxxxx"# Evaluate the#color(blue)"E"# xponents

#(9-9) color(white)"xxXXxxxxxx"# No#color(orange)"M"# ultiplication or#color(orange)"D"# ivision

#(color(violet)(9-9))color(white)"xxXXxxxxxx"# Evaluate the#color(violet)"A"# ddition and#color(violet)"S"# ubtraction

#=(0)#

*Final Answer*

Featured 2 weeks ago

No,

First, find a common denominator between the two. If one is not immediately obvious, you can always find one by multiplying the two denominators (the bottom numbers) together.

In this case,

To get the denominator of

To get the denominator of

So,

Featured 2 weeks ago

The easiest way to do this is to find the prime factorization of each number first.

# 8 = 4 * 2 #

# 8 = 2 * 2 * 2 #

# 8 = 2^3 #

# 12 = 6 * 2 #

# 12 = 3 * 2 * 2 #

# 12 = 3 * 2^2 #

# 15 = 5 * 3 #

Now that we have reduced all numbers to their prime factorizations, we will look for the factors with the highest exponent and multiply them all together to get our LCM.

There is

So now we must do the following:

# 2^3 * 3 * 5 #

# 2 * 2 * 2 * 3 * 5 #

# 120 #

Therefore, the LCM of

Featured 2 weeks ago

Identify the individual terms and simplify each to a final answer.

These will be added or subtracted in the last step.

Within each term, the order of operations has to be followed:

Powers and roots, then multiply and divide.

Featured 2 weeks ago

The nearest 'tenth' means the same as to one decimal place.

To decide whether to round up to the next tenth or down to the same tenth, look at the digit in the second decimal place (hundredths).

If it is

If it is

The

Note that the thousands place is not considered at all.

Featured 2 weeks ago

8

The lowest common multiple is the lowest number which is a multiple of both numbers.

Since 8 * 1 = 8 and 2 * 4 = 8, 8 is the lowest common multiple.

An easy way to find the LCM is to list all multiples of each number, up to the product of both numbers (in this case, 16).

For 2:

- 2, 4, 6, **8,** 10, 12, 14, 16

For 8:

- **8,** 16,

8 is the lowest number they both have in common.

The highest possible value of an LCM is both numbers multiplied by each other. This is why for both lists i stopped at 16, because

2*8 = 16

Featured 1 week ago

1) Put mixed numbers in fraction form

Problem:

2) Put both denominators in prime factorization and find LCD

3) Divide each denominator by LCD and multiply it with fractions

4) Finally, add and solve

Featured 1 week ago

Write each number as the product of its prime factors, then you know what you are working with.

Notice that you do not even need to consider

Notice that in factor form:

All the numbers are in the LCM, but there are no unnecessary factors.

Featured 2 days ago

Find the total volume first:

Convert to litres immediately (

The ratio:

This means that

The volume of juice is therefore: