What is the result when −2/3 subtracted from −14/15?

Mathematics

1 answer:

disa [49]3 years ago

7 0

Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

You might be interested in

What is m∠V ? Round only your final answer to the nearest tenth. 53.9º 56.1º 61.9º 70.0º The figure shows acute triangle U V W.

IrinaVladis [17]

The correct option is: 53.9°

Explanation

According to the below diagram, $\triangle UVW$ is acute triangle, in which $\overline{UV}= 7.6 inches, \overline{VW}= 8.6 inches$ and $\overline{WU}=7.4 inches$

If we apply cosine rule here, then we will get.....

$cos(V) = \frac{(UV)^2+(VW)^2 -(WU)^2}{2(UV)(VW)}$

Now, plugging the given values, we will get....

$cos(V)=\frac{(7.6)^2+(8.6)^2-(7.4)^2}{2(7.6)(8.6)}\\ \\ cos(V)= \frac{76.96}{130.72}=0.58873...\\ \\ V= cos^-^1(0.58873...)=53.932.... \approx 53.9 degree$