How fraction is less than 5/6 has a denominator of 8

1 answer:

6 0

By finding an equivalent fraction of $\frac{5}{6}$ that has a denominator of 8, we can work out several fractions whose value less than 5/6

$\frac{5}{6}= \frac{5*1.5}{6*1.5}= \frac{7.5}{8}$

So 5/6 is equivalent to 7.5/8

Fractions that is smaller than 7.5/8 could be: 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

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A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

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The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,

14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet