The numerator of the fraction 5/12 is decreased b y 2% and the denominator is increased by 3%. What is the new fraction
0.98 * 5 = ?
1.03 * 12 - ?
2 % = 2 / 100 = 0.02
2 % of 5 = 0.02 * 5 = 0.1
3 % = 3 / 100 = 0.03
3 % of 12 = 0.03 * 12 = 0.36
The new fraction:
( 5 - 0.1 ) / ( 12 + 0.36 ) =
4.9 / 12.36 Multiply numerator and enominator by 100
490 / 1236 = 2 * 5 * 7 * 7 / ( 2 * 2 * 3 * 103 ) =
5 * 7 * 7 / ( 2 * 3 * 103 ) =
245 / 618
To find the new fraction after the numerator and denominator are adjusted, we first need to calculate the new numerator and denominator separately.
Step 1: Calculate the decrease in the numerator:
Decrease percentage = 2%
Original numerator = 5
Decreased numerator = Original numerator - (Original numerator * Decrease percentage)
= 5 - (5 * 0.02)
= 5 - 0.1
= 4.9
Step 2: Calculate the increase in the denominator:
Increase percentage = 3%
Original denominator = 12
Increased denominator = Original denominator + (Original denominator * Increase percentage)
= 12 + (12 * 0.03)
= 12 + 0.36
= 12.36
Therefore, the new fraction is 4.9/12.36