Simplify 7/8-2/3
78−2378-23
To write 7878 as a fraction with a common denominator, multiply by 3333.
7833−237833-23
To write 2323 as a fraction with a common denominator, multiply by 8888.
7833−23887833-2388
Write each expression with a common denominator of 2424, by multiplying each by an appropriate factor of 11.
7⋅324−2⋅8247⋅324-2⋅824
Combine the numerators over the common denominator.
7⋅3−(2⋅8)247⋅3-(2⋅8)24
Simplify the numerator.
524524
The result can be shown in both exact and decimal forms.
Exact Form:
524524
Decimal Form:
0.208¯3
Answer:
1.84ft
Step-by-step explanation:
From the figure attached,
AB = Height of the window = 15ft
Let the distance between the base of the housr and the fence 'C' = xft
If the angle of depression = 7°
Then angle of elevation of the top of the fence from the house = 7°
Now from right triangle ABC,
tan7° = x/15
x = tan7°×15
x = 0.1227×15
x = 1.84ft
Therefore, distance of the house from the fence is 1.84ft
Answer:
x = 11
Step-by-step explanation:
6x + 7 = 73 {Alternate interior angles}
6x = 73 - 7
6x = 66
x = 66/6
x = 11
<h3>5/6 × 3/10</h3>
<em>Multiply 5/6 by 3/10 (to do this,</em><em> multiply the numerator by the numerator </em><em>and the </em><em>denominator by the denominator).</em>
<h3>5 × 3/6 × 10</h3>
<em>Perform the</em><em> multiplications </em><em>in the </em><em>previous fraction.</em>
<h3>15/60</h3>
<em>Reduce the fraction </em><em>15/60</em><em> to its</em><em> lowest expression by extracting</em><em> and canceling 15.</em>
<h3>1/4 ≈ 0.25</h3>