# Make the internet a better place to learn

1

## What equivalent fraction of 3/4 has a denominator of 10?

Inzurgent
Featured 5 days ago

$\frac{7.5}{10}$

#### Explanation:

Given:

The answer must be equivalent to $\frac{3}{4}$, however the denominator must be a 10.

To solve this, we can use a proportion.

$\frac{3}{4} = \frac{x}{10}$ Where x is the unknown value we are solving for

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{4}} = \frac{\textcolor{b l u e}{x}}{\textcolor{red}{10}}$ Now we cross multiply

$\textcolor{red}{3} \left(\textcolor{red}{10}\right) = \textcolor{b l u e}{4} \left(\textcolor{b l u e}{x}\right)$

$30 = 4 x$ Divide 4 from both sides to isolate x

$x = 7.5$

0

## 8 over 20 simplest form?

Gianna
Featured 5 days ago

$\frac{2}{5}$

#### Explanation:

You find a number that you can divide the denominator and numerator by and then you divide it by that number until you cant divide it no more.

In the above context we have;

$\frac{8}{20}$

$\frac{4 \times 2}{4 \times 5}$

$\frac{\cancel{4} \times 2}{\cancel{4} \times 5}$

$\frac{1 \times 2}{1 \times 5}$

$\frac{2}{5}$

1

## 8 over 20 simplest form?

EZ as pi
Featured 5 days ago

$\frac{2}{5}$

#### Explanation:

Divide both the numerator and denominator by the HCF.

$\frac{8}{20}$

IN this case:

$\frac{8 \div 4}{20 \div 4} = \frac{2}{5}$

2

## What equivalent fraction of 3/4 has a denominator of 10?

EZ as pi
Featured 5 days ago

$\frac{7.5}{10}$

#### Explanation:

You need to multiply the numerator and denominator by the same number.

$4 \times 2.5 = 10$

$\frac{3 \times 2.5}{4 \times 2.5} = \frac{7.5}{10}$

3

## What is the strategy used to divide 48 by 8?

George C.
Featured 4 days ago

A few thoughts...

#### Explanation:

Here are a few ideas:

• If you know that $6 \times 8 = 48$ then it follows that $48 \div 8 = 6$

• If you know that ${7}^{2} = 49$ then note that $48 = 49 - 1 = {7}^{2} - {1}^{2} = \left(7 - 1\right) \left(7 + 1\right) = 6 \times 8$

• Notice that $48 = 40 + 8 = \left(10 \times 4\right) + 8 = \left(10 \times \frac{1}{2} \times 8\right) + 8 = \left(5 \times 8\right) + \left(1 \times 8\right) = \left(5 + 1\right) \times 8 = 6 \times 8$

• Add $8$'s until you get $48$ and count the number of $8$'s you had to use: $48 = {\overbrace{8 + 8 + 8 + 8 + 8 + 8}}^{6 \times 8}$

• The other way round, we could count the number of times we need to subtract $8$ from $48$ until we get to $0$: $48 \rightarrow 40 \rightarrow 32 \rightarrow 24 \rightarrow 16 \rightarrow 8 \rightarrow 0$. That was $6$ times.

1

## What is the strategy used to divide 48 by 8?

Jim H
Featured 4 days ago

#### Explanation:

$48 \div 8$ can also be written $\frac{48}{8}$

And I can reduce the fraction because both numbers are even:

$\frac{48}{8} = \frac{2 \times 24}{2 \times 4} = \frac{24}{4}$

If I notice that $\frac{24}{4} = 6$, then I can finish. If not, then I see that the numbers are both even, so I can reduce again:

$\frac{48}{8} = \frac{24}{4} = \frac{12}{2}$.

And finish with $6$.

1

## What is 1×(50+1779)÷(81÷9)?

smendyka
Featured 4 days ago

See a solution process below:

#### Explanation:

First, using the standard order of operation or PEDMAS, execute the operations with the Parenthesis first:

$1 \times \left(\textcolor{red}{50} + \textcolor{red}{1779}\right) \div \left(\textcolor{b l u e}{81} \div \textcolor{b l u e}{9}\right) \implies$

$1 \times 1829 \div 9$

Next, execute the Multiplication and Division operations left to right:

$\textcolor{red}{1} \times \textcolor{red}{1829} \div 9 \implies$

$\textcolor{red}{1829} \div \textcolor{red}{9} \implies$

$\frac{\textcolor{red}{1829}}{\textcolor{red}{9}} \implies$

$\frac{1827 + 2}{9} \implies$

$\frac{1827}{9} + \frac{2}{9} \implies$

$203 + \frac{2}{9} \implies$

$203 \frac{2}{9}$

or

$203.2222 \ldots .$

or

$203. \overline{2}$

1

## How many times smaller is 5 hundredths than 500?

soph
Featured yesterday

$10 , 000$

#### Explanation:

The question essentially asks what is $500$ divided by $0.05$, since the answer, $a$ we'll call it, is $0.05 \cdot a$.

So, $\frac{500}{0.05} = 10 , 000$.

The key point you need to note in this question is the phrase, times smaller, which tells you that the answer is $0.05 + 0.05$ until you reach $500$. This is equal to $\frac{500}{0.05}$.
For future reference, any question following this format you'll need to use division.

2

## What is the lowest common multiple of 12,18 and 45?

David Drayer
Featured yesterday

180

#### Explanation:

Find the unique prime factors for each number and multiply the factors together.

$12 = 2 \times 2 \times 3$
$18 = 2 \times 3 \times 3$
$45 = 5 \times 3 \times 3$

There are two factors of 2 needed ( the factor of 2 for 18 is a repeat.)

There are two factors of 3 needed ( the factors of 3 in 12 and 45 are repeats.)

There is one unique factor of 5

Multiplying the non repeated or unique factors gives.

The Least Common Multiply $= 2 \times 2 \times 3 \times 3 \times 5$

$2 \times 2 \times 3 \times 3 \times 5 = 180$

1

## What time is 5 1/4 hours after 7:00 p.m.?

smendyka
Featured yesterday

See a solution process below:

#### Explanation:

First, we can write $5 \frac{1}{4} \text{ hours}$ as $\left(5 \text{ hours" + 1/4" hours}\right)$

So, first we can add the $5 \text{ hours}$ to 7:00 PM giving:

$7 : 00 \text{ PM" + 5 = 12:00" AM}$

If $1 \text{ hour" = 60" minutes}$ then we can divide each side of the equation by $\textcolor{red}{4}$ to find out how many minutes in a $\frac{1}{4}$ of an hour:

(1" hour")/color(red)(4) = 60/color(red)(4)" minutes"

$\frac{1}{4} \text{ hour" = 15" minutes}$

We can now add the 15 minutes to the result we had from the previous step giving:

$12 : 00 \text{ AM" + 15" minutes" = 12:15" AM}$