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mote1985 [20]
2 years ago
12

Solve 10/6 + 3/6- 5/6 mentally​

Mathematics
2 answers:
elixir [45]2 years ago
8 0

Answer: 4/3

Step-by-step explanation:

<u>Given</u>

10/6 + 3/6 - 5/6

<u>Add the numerators up (since they have the same denominator)</u>

=(10 + 3 - 5) / 6

<u>Simplify by addition/subtraction</u>

=(13 - 5) / 6

=8 / 6

<u>Divide 2 on both numerator and denominator to simplify the fraction</u>

=(8 ÷ 2) / (6 ÷ 2)

=\boxed{\frac{4}{3} }

Hope this helps!! :)

Please let me know if you have any questions

Alinara [238K]2 years ago
6 0

Answer:

4/3

Step-by-step explanation:

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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
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Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

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