Answer:
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
Answer:
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
