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3 years ago

How do you find the product of a fraction then put it in simplest form

Mathematics

2 answers:

koban [17]3 years ago

5 0

1 1/7 x 1 3/4= 2
Change the mixed fraction to an improper fraction: 1 1/7=8/7
1 3/4=7/4
Multiply the two fraction: 8/7 x 7/4 = 56/28
Now reduce by figuring out how much 28 can go into 56.
The answer is a whole number which is 2!

miv72 [106K]3 years ago

3 0

Turn it into a improper fraction. 7*1=7+1=8 . SO it would be 8/7
4*1=4+3=7/4. Multiply them. 8/7* 7/4=56/28. They could both be divided by 4.
56/4=14. 28/4=7. 14/7=2. So 2 is the simplest form <span />

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If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth

xeze [42]

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

$H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft$

P = 19.6 ft

So, the height is 19.6 ft.

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3 years ago

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Monica [59]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

What is the correct order of the following numbers from least to greater?<br> 2/3, -0.6, 0.65, 4/5

ExtremeBDS [4]

We can either convert them to decimals or to fractions
if decimals
2/3=0.66666666
4/5=8/10=0.8
so the order is
-0.6, 0.65, 0.66, 0.8 or
-0.6, 0.65, 2/3, 4/5

if conver to fractions then
since -0.6 is negative, it is smallest, no need to convert
0.65=65 hundreths=65/100
2/3=66/99=prety close
4/5=8/10=80/100
order is
-0.6, 65/100, 66/99, 80/100 or
-0.6, 0.65, 2/3, 0.8

5 0

3 years ago

Read 2 more answers

What is the mixed number of 96/8

lions [1.4K]

The answer is 12 because i divide 96 / 6

(sorry i dont have division sign)

3 0

3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago