Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have


The least common multiple are those common and non-common numbers with the greatest exponent
so

Answer:
x=2
Step-by-step explanation:
Simplify both sides of the equation.
2x−1−(−x + 3)=6−2x
(Distribute the Negative Sign)
2x−1 + −1(−x + 3)=6−2x
2x + −1 + −1(−x) + (−1)(3)=6−2x
2x + −1 + x + −3=6−2x
2x + −1 + x + −3=6 + −2x
(Combine Like Terms)
(2x + x) + (−1 + −3)=−2x+6
3x + −4=−2x + 6
3x−4=−2x + 6
Add 2x to both sides.
3x−4 + 2x=−2x + 6 + 2x
5x−4=6
Add 4 to both sides.
5x−4 + 4=6 + 4
5x=10
Divide both sides by 5.
5x/5=10/5
x=2
Answer:
<u>Hanna is 8 years old.</u>
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = <u>8</u>.
Hanna is <u>8 years</u> old.
Answer:
13
Step-by-step explanation:
(17+9)/2 = 13
0.176 can be re-written as;

On simplifying by dividing by 8 , this gives;

<span />