Which equation shows how to use equivalent fractions to evaluate 2 5 + 3 4 5 2 + 4 3 start fraction, 2, divided by, 5, end fraction, plus, start fraction, 3, divided by, 4, end fraction?

2/5 + 3/4 = 23/20

Step-by-step explanation:

Given

2/5 + 3/4

To evaluate this using equivalent fractions, we have to make the fractions have the same denominators, in such a way that the value of each fraction is unchanged.

First consider the denominators of each fractions: 5 and 4. Their lowest common multiple is 5×4 = 20.

20/4 = 5, and 20/5 = 4

Now, 2/5 = (2×4)/(5×4) = 8/20

and 3/4 = (3×5)/(4×5) = 15/20

So

2/5 + 3/4 = 8/20 + 15/20

= (8+15)/20 = 23/20

Therefore,

2/5 + 3/4 = 23/20

236 cm 16 time 12 = 192

6 times 7 = 42

192+42

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft