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grigory [225]
3 years ago
11

What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8

Mathematics
2 answers:
il63 [147K]3 years ago
5 0
I think you want the least common multipule (exg LCM of 2,3,4 is 12)

so we find the factors and include all of them so like this

15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2

so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120

the LCM is 120

so 4/15=32/120
1/12=10/120
3/8=45/120

add 32/120+10/120+45/120=(32+10+45)/120=87/120
sladkih [1.3K]3 years ago
3 0
The least common denominator would be the least common multiple (LCM) of the denominators, 15 12 and 8.

To find the LCM, multiply two of the numbers together and test to see if the third one divides evenly into it.

15 x 8 = 120

120 ÷ 12 = 10

Because all three numbers go evenly into 120 (and 120 is the smallest number for which that is true), the least common denominator would be 120.
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Mama L [17]

Answer:

71%

Step-by-step explanation:

I think the easiest way to think of this is to pretend that there are a total of 100 students at the high school, so that means the amount of people who work part time is 45% of 100 = 45 people. If 60% of those students love math, you do 0.6 * 45 = 27 people.

Next, 80% of the students who do not have a part time job (100 - 45 = 55) love math, so 0.8 * 55 = 44 people.

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let me know if any part of that doesn't make sense

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3 years ago
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3 years ago
Solve for d. | - 2d|<10
Romashka-Z-Leto [24]

 Your question: Find D in | - 2d|<10

==========================================================

SOLVING....

Solve the absolute value

|−2d| < 10

     =

−2d < 10

    or

−2d > −10

Solve −2d < 10 for D

Divide each side by -2

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Now Solve −2d > −10

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3 years ago
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Mazyrski [523]

Answer:

<em>The slope would be</em><u><em> -1/2. </em></u>

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

<em> = </em><u><em>( 4, -2 ), </em></u>

Now, the slope of the line passes through the origin and the point ( 4, -2) is,

= <u>-1/2</u>

<h3><u>i think thats the answer</u></h3><h2><u> </u><em><u>HOPE IT HELPS YOU THOUGH</u></em></h2>
8 0
3 years ago
A business man invested 10,500 in a company and the value increases 3.5% each year. How much will be the investment after 12 yea
alekssr [168]

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