I’m feeling really lazy today, can someone do this for me?

Subtract fractions with different denominators

Tems11 [23]

Answer:

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

Step-by-step explanation:

We know that

A fraction consists of two integers—one on the top, and one on the bottom.
The top one is numerator, the bottom one is denominator, and
These two numbers are separated by a line.

Let us consider two different fractions with different denominators

$\frac{10}{15}$

$\frac{2}{5}$

Lets subtract the two fractions

$\frac{10}{15}-\frac{2}{5}\:\:\:\:$

$\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}$

$=\frac{2}{3}-\frac{2}{5}$

$\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15$

$\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$

$\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5$

$\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}$

$\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3$

$\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}$

so

$=\frac{10}{15}-\frac{6}{15}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{10-6}{15}$

$\mathrm{Subtract\:the\:numbers:}\:10-6=4$

$=\frac{4}{15}$

Therefore,

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

5 0

3 years ago

Please help me. I need help with this question.

iogann1982 [59]

Answer:

$367.38 is the cost to stain the entire deck.

Step-by-step explanation:

Here is what you need to know beforehand:

Diameter is a line that goes through a circle. Radius is a line that goes from the edge of the circle all the way to the center/a line that goes halfway through the circle.

--------------------------------------------------------------------------------------------------------------

First, find the area of the circle. Here is the formula:

Area = 3.14 (Pi) x r²

Since radius is half of the diameter (as explained above), you'll need to divide the diameter in half: 12m/2 = 6m

So the formula will look like this:

Area = 3.14 x 6²

Then, you just do the math:

Area = 3.14 x 6²

Area = 3.14 x 36

Area = 113.04

The goal of the problem is to find the amount of money Emma needs. Finally, all you need to do is multiply the amount it cost to stain per square meter by the total area of the deck:

Answer = 113.04 x 3.25

Answer = 367.38

$367.38 is the cost to stain the entire deck.

4 0

3 years ago

Kendyll has a 91% grade in math. If she scores 80% on one assignment what will her new grade in math be? IF she scores 90% on on

zhannawk [14.2K]

85.5 percent

90.5% percent

4 0

3 years ago

What is the slope intercept if m=2 and b=-3

UkoKoshka [18]

According to the y = mx + b equation, the "m" would represent the slope and "b" is the y-intercept

So m=2 should be your answer

7 0

3 years ago

Interest paid on £2500 at an interest at an interest rate of 15%

postnew [5]

Answer:

£375

Step-by-step explanation:

Amount = £2500
Interest rate = 15%

Interest

£2500*15/100 = £375

8 0

3 years ago