Answer: 1/4 = 3/12 , 1/6 = 2/12
Step-by-step explanation:
<em>To find equivalent fractions with a common denominator, we have to calculate the least common multiple of the denominators which is called the Least Common Denominator (</em><em>LCD</em><em>). </em>
<em>First we have to list the prime factors of each denominator:</em>
4: 2 x 2
6: 2 x 3
<em>Then we have to multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, we multiply the factor the greatest number of times it occurs. </em>
2: two occurrences
3: one occurrence
LCM(4,6) = 2 x 2 x 3 = 12 ◄LCD
<em>Now we can find equivalent fractions with this LCD .</em>
<em>For each fraction, we have to determine the number needed to multiply the denominator to get the LCD. Then have to multiply both the numerator and denominator by that number: </em>
<h3><em>LCD = 12</em></h3><h3>1/4 </h3>
LCD/4 = 12/4 = 3
1/4 = 3x1/3x4 = 3/12
<h3>1/6 </h3>
LCD/6 = 12/6 = 2
1/6 = 2x1/2x6 = 2/12
Answer: 1/4 = 3/12 , 1/6 = 2/12
<h2><em>Spymore</em></h2>
Answer:
the equation that should be required is 0 = 2t
Step-by-step explanation:
Let us assume the hours of television be t
And, for hours outdoor be o
As the hours outdoors would be twice the hours of television so the equation is
0 = 2t
Therefore the equation that should be required is 0 = 2t
The same is relevant
B is -5 and C is -2. Since -5 is the first number, a(1) is bc^0 and that would make c = 1. B would need to be -5. In the second number, since we know b is -5, c would need to be -2 and anything to the 2-1 is just the same value.
Answer:
(8x−3)(x+2)
Step-by-step explanation:
Factor 8x2+13x−6
8x2+13x−6
=(8x−3)(x+2)
Answer: Choice A
S9 = (9/2)*(2+26)
===============================================
The formula is
Sn = (n/2)*(a1+an)
where
Sn = sum of the first n terms (nth partial sum)
n = number of terms
a1 = first term
an = nth term
In this case,
n = 9
a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)
an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)
So,
Sn = (n/2)*(a1+an)
S9 = (9/2)*(2+26)
will help us find the sum of the first 9 terms of this arithmetic sequence
