Answer:
See explanations below
Step-by-step explanation:
a) 1/4+5/4
= (1+5)/4
= 6/4
= 3/2
b) 23/17+11/17
= (23+11)/17
= 34/17
= 2
c) 16/93+15/93
= (16+15)/93
= 31/93
= 1/3
d) 11/14+23/14
= (11+23)/14
= 34/14
= 17/7
e) 3/16+15/16
= (3+15)/16
= 18/16
= 9/8
f) 1 1/8 + 1 3/8
= 9/8 + 11/8
= (9+11)/8
= 20/8
= 5/2
g) 1 3/10+3 1/10;
= 13/10+31/10
= (13+31)/10
= 44/10
h) 2 3/5+3 2/5
= 13/5+17/5
= (13+17)/5
= 30/5
= 6
Answer: 1/6
Step-by-step explanation:
<u>Given:</u>
4/9 and 11/18
<u>Solve:</u>
<em>STEP ONE: Make the denominators equal by determining the LCM</em>
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
<em>STEP TWO: Compare the size and determine the greater one.</em>
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
<em>STEP THREE: Find the difference between the two fractions.</em>
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B. 1/m¹⁸
Step-by-step explanation:
To simplify the equation, we start with the values inside the brackets.
Therefore m⁻¹m⁵ results to m⁴.
This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.
that is, -1+5=4
then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶
To divide figures that have the same base we subtract the powers.
That is, 4-(-2)=6
the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸
