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3 years ago

In the case of unlike denominators, common denominators must be

Mathematics

2 answers:

Lena [83]3 years ago

5 0

Answer:

True

Step-by-step explanation:

You could use any common multiple, but using the least common multiple is easier and faster, which is why it is usually recommended. For example:

$\frac{1}{4} +\frac{2}{3}$

In order to add, you need to find the least common multiple, which would be 12. (and you can't forget, what you do to the bottom, you must do to the top as well)

$\frac{(3)1}{(3)4} +\frac{(4)2}{(4)3} \\\\\frac{3}{12} +\frac{8}{12}\\\\\frac{11}{12} =\frac{1}{4} +\frac{2}{3}$

However, this is only necessary with addition and subtraction, not multiplication or division.

Zarrin [17]3 years ago

4 0

True, in order to solve a fraction it must have a common denominator, to find this you have to find the least common denominator.

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Change the percent to a decimal: 37%

slamgirl [31]

Answer:

out of 100, the decimal is 0.37

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please answer 26 and 27 please thank you

ser-zykov [4K]

Answer:

Part 26) $3\frac{1}{4}\ in$

Part 27) $2\frac{2}{3}\ cups$

Step-by-step explanation:

Part 26)

we know that

The length of Alana's hair was 9 3/4 inches

After her haircut, the length was 6 1/2 inches

To find out how many inches did she have cut subtract 6 1/2 from 9 3/4

but first

Convert mixed number to an improper fraction

$9\frac{3}{4}\ in=\frac{9*4+3}{4}=\frac{39}{4}\ in$

$6\frac{1}{2}\ in=\frac{6*2+1}{2}=\frac{13}{2}\ in$

Find the difference

$\frac{39}{4}-\frac{13}{2}=\frac{39-26}{4}=\frac{13}{4}\ in$

Convert to mixed number

$\frac{13}{4}\ in=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}\ in$

Part 27)

we have that

Emeril used a total of 7 1/4 cups of flour to make three pastries

He used 2 1/4 cup of flour for the first and 2 1/3 cups of flour for the second

To find out how much cups of flour Emeril use for the third pastry, subtract the sum of the cups of flour used in the first and second pastry from the total cups of pastry used

Let

x ----> number of cups of flour used in the third pastry

$x=7\frac{1}{4}-(2\frac{1}{4} +2\frac{1}{3})$

but first

Convert mixed number to an improper fraction

$7\frac{1}{4}\ in=\frac{7*4+1}{4}=\frac{29}{4}\ cups$

$2\frac{1}{4}\ in=\frac{2*4+1}{4}=\frac{9}{4}\ cups$

$2\frac{1}{3}\ in=\frac{2*3+1}{3}=\frac{7}{3}\ cups$

substitute

$x=\frac{29}{4}-(\frac{9}{4} +\frac{7}{3})$

$x=\frac{20}{4} -\frac{7}{3}$

$x=\frac{20*3-7*4}{12}$

$x=\frac{32}{12}\ cups$

Simplify

$x=\frac{8}{3}\ cups$

Convert to mixed number

$\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ cups$

4 0

3 years ago

Which angle forms a y-coordinate on a unit circle of /~3/2 (square root of 3 over 2)

mixer [17]

Answer:

$\theta=60\degree$

$\theta=\frac{\pi}{3}$

Step-by-step explanation:

We want to find the angle which forms a y-coordinate of $\frac{\sqrt{3} }{2}$

on the unit circle.

The y-coordinate on the unit circle is given by $\sin(\theta)$ .

This implies that $\sin(\theta)=\frac{\sqrt{3} }{2}$

$\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})$

$\Rightarrow \theta=60\degree$

$\theta=\frac{\pi}{3}$

3 0

3 years ago

Write two ratios that are equivalent to 5:10

luda_lava [24]

10:20 and 15:30. Hope that helped!

4 0

4 years ago

Please help me!!!<br> I need help please help

torisob [31]

Hey there! :D

The angles are congruent since the triangles are congruent.

From the given statement, we can see that <C and <L are in the same place.

<C= 69 degrees, so <L= 69 degrees.

I hope this helps!
~kaikers

8 0

4 years ago