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Firlakuza [10]
3 years ago
5

How do I simplify 3/8-6/7

Mathematics
2 answers:
Phantasy [73]3 years ago
6 0

Answer:

\frac{-27}{56}

Step-by-step explanation:

First, we will subtract.

[] Let's find common denominators.

8 -> 8, 16, 24, 32, 40, 48, <u>56</u>, 64, 72, 80

7 -> 7, 14, 21, 28, 35, 42, 49, <u>56</u>

\frac{3}{8}=\frac{3*7}{8*7}  =\frac{21}{56}

\frac{6}{7} =\frac{6*8}{7*8} =\frac{48}{56}

(multiplying by these numbers does not affect them because, for example, \frac{8}{8}=1)

[] Subtract across the numerators, the denominator stays the same

\frac{21}{56} -\frac{48}{56} =\frac{-27}{56}

[] Simplify

-> To simplify, we can find common factors

For 27: <u>1</u>, 3, 9, and 27

For 56: <u>1</u>, 2, 4, 7, 8, 14, 28, and 56

-> \frac{-27}{56} does not have any common factors besides one, so it is fully simplified

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Setler79 [48]3 years ago
4 0

Answer:

1/8-7/2

Multiply

1/8 and 7/2

7

8

⋅

2

Multiply

8

by

2

.

7

16

The result can be shown in multiple forms.

Exact Form:

7

16

Decimal Form:

0.4375

Step-by-step explanation:

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3 years ago
In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.
zvonat [6]

Part i


\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}


y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}


Substituting,

y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1


Answer: -1


Part ii


I'm not sure that one's typed in correctly but I'll solve it as written.


3-34y + 2a = \dfrac{3b-5}{2c + 1}


34y  = 3+2a-\dfrac{3b-5}{2c + 1}


y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)


We're not asked to simplify it so I wont. Substituting,


y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}


Answer: 59/306



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What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?
Alex787 [66]
Hi!
A is the answer:⏬⏬⏬⏬⏬⏬⏬⏬

The distance around a triangle, better noun as de "perimeter of a triangle"

is the total distance around the outside, which can be found by adding together the length of each side.

Perimeter (P) = Length A + Length B + Lenght C

In this case, we know that each side measure 2 \frac{1}{8}81​ feet, 3 \frac{1}{2}21​ feet, and 2 \frac{1}{2}21​feet  but we have to rewrite each one of this mixed fractions as improper fractions:

2 \frac{1}{8}81​ = \frac{16 + 1}{8}816+1​ = \frac{17}{8}817​   

3 \frac{1}{2}21​ = \frac{6 + 1}{2}26+1​ = \frac{7}{2}27​

2 \frac{1}{2}21​ = \frac{4 + 1}{2}24+1​ = \frac{5}{2}25​

Then we just add all of them to find the perimeter:

 = \frac{17 + 28 + 20}{8}817+28+20​ = \frac{65}{8}865​

A: The distance around a triangle is \frac{65}{8}865​feet
3 0
3 years ago
Read 2 more answers
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