Is 5/8 more than 11/20

Mathematics

2 answers:

stiks02 [169]2 years ago

6 0

Yes, because in order for 5/8 to have the same denominator as 11/20, you multiply 5 and 8 by 2.5, which equals 12.5/20.

alexdok [17]2 years ago

5 0

5/8 is more than 11/20

If we find the lower common multiple of the denominators which is 160 then we can multiply the top numerators by the opposite denominators

5x20=100
11x8=88

We now have
$\frac{100}{160} and \frac{88}{160}$

The one on the left is simplified to 5/8 and the right is simplified to 11/20

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goblinko [34]

Answer:

20.04 units

Step-by-step explanation:

The diagram shows right triangle ABC. Use the definition of the cosine:

$\cos \angle C=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}\\ \\\cos \angle C=\dfrac{BC}{AC}\\ \\\cos 51^{\circ}=\dfrac{BC}{27}\\ \\BC=27\cdot \cos 51^{\circ}\\ \\BC\approx 20.04\ units$