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Featured 2 months ago

See explanation.

To compare 2 fractions we have to find their (lowest) common denominator (i.e. the number both denominators can be changed to by multiplying or dividing numerator and denominator by the same number)

Here the fractions are

The second fraction can be reduced by

Both numbers are reduced to the same fraction

Featured 1 month ago

Since all of these numbers are in scientific notation, we can determine which one is the smallest by looking at the exponents.

The number with the smallest exponent is the smallest number.

In this case, the smallest exponent is

#color(red)(-6)# Therefore, the smallest number is

#3.99 xx 10^color(red)(-6)#

*Final Answer*

Featured 1 month ago

so as a common fraction

Featured 1 month ago

See below.

**The sum of the quotient of a number and 3 and 8 is 16."**

One needs to translate from English to mathematics symbols. Sometimes, the words can be translated directly, piece by piece, from left-to-right, then the parts can be put together.

This one is one of those "left-to-right." translations:

"The sum of" involves adding two things, so we start with:

**"is" translates to "=". So,**

Using "x" for everything can make the eyes sore, so here we **use "N" for the unknown Number.**

**the first thing:**

"the quotient of a number and 3". Since "quotient of" means divide the first thing mentioned (an unknown number, N) by the second thing mentioned (3).

**We can fill-in part of the expression:**

**the second thing:**

The second thing being added is **8**.

**Now, finish the translation with a full equation:**

To solve the math problem, subtract 8 from both sides of the equation, then multiply both sides of the result by 3.

You should get:

Featured 1 month ago

The prime factors of

The intention of the question is not absolutely clear....

Is it asking which of the factors of

Or

Is it asking for

It will help to write

Divide

The prime factors of

As the product of its prime factors:

Featured 1 week ago

Divisibility by

Divisibility by

Divisibility by

Divisibility by

Divisibility by

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