A mixed fraction, expressed in lowest terms, is in the form a b/c

The fraction is halved and then 3/4 is added

The result is 1 9/20

find the values of a, b, and c

The answer is actually a proper fraction = 7/20

Step-by-step explanation:

A mixed fraction is expressed as : a b/c

Let the mixed fraction be represented by Y

a) The fraction is halved

= Y ÷ 1/2 = Y/ (1/2)

In mathematics, when we divide a number by a fraction, the number is multiplied by the reciprocal of the fraction.

Y × 2 = 2Y

b) Then 3/4 is added

= 2Y + 3/4

c)The result is 1 9/20

2Y + 3/4 = 1 9/20

Converting the mixed fraction to improper fraction, we have

1 9/20 = (20 × 1) + 9/ 20 = 29/20

Therefore,

2Y + 3/4 = 29/20

2Y = 29/20 - 3/4

The Lowest common multiple of the right hand side = 20

2Y = (29 - 3×5)/ 20

2Y = 29 - 15/20

2Y = 14/20

2Y = 7/10

To find Y , we cross multiply

2Y × 10 = 7

20Y = 7

Y = 7/20

Therefore, the mixed fraction represented by Y is actually a proper fraction = is 7/20

a = 1

b = 2

c = 5

Step-by-step explanation:

Given

Mixed fraction: a b/c

Result after arithmetic operations = 1 ⁹/20

Required.

Find a, b, c

From the question, the fraction is halved. This is represented as follows

a b/c ÷ 2

= a b/c * ½

Then, ¾ is added. This is represented by

a b/c * ½ + ¾

The result is 1 ⁹/20. This is represented by

a b/c * ½ + ¾ = 1⁹/20

Convert mixed fraction to improper fraction

a b/c * ½ + ¾ = 29/20

Subtract ¾ from both sides

a b/c * ½ + ¾ - ¾ = 29/20 - ¾

a b/c * ½ = (29 - 15)/20

a b/c * ½ = 14/20

a b/c * ½= 7/10

Multiply both sides by 2

2 * a b/c * ½= 7/10 * 2

a b/c = 14/10

a b/c = 7/5

Convert mixed fraction to improper fraction

a b/c = 1⅖

By comparison,

a = 1

b = 2

c = 5

i think c. but don't trust it.

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: