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antoniya [11.8K]
3 years ago
11

Simplify a)3/7×28/15÷14/5 b)7/8+1/16-1/12

Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer:

a)2/7

b)41/48

<em />

<em>Step-by-step explanation:</em>

<u>-Question A-</u>

1) Rephrase the problem to look like this:

3/7*28/15*5/14 <-- when dividing fractions you actually multiply by the reciprocal (opposite)

2) Multiply across the above phrase:

420/1470

3) Simplify your fraction:

2/7

There is nothing else to be done with 2/7 and thus it is your final answer.

<u></u>

<u>-Question B-</u>

1) Get the denominator of all 3 fractions to the same Least Common Denominator (48):

42/48 + 3/48 - 4/48

2) Do the arithmetic in the phrase above:

41/48

41/48 cannot be simplified and thus is your final answer

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Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

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In Triangle BDC             And     In Triangle BDA

a² = h² + x²     (  1  )                        c² = h² + (x-b)²

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