Answer:
6/50 simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
step 2 Write it as a fraction
0.12/1
step 3 Multiply 100 to both numerator & denominator
(0.12 x 100)/(1 x 100) = 12/100
It can be written as 12% = 12/100 or 12/100
step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
4 is the LCM for 12 & 100
step 5 divide numerator & denominator by 4
12/100 = (12 / 4) / (100 / 4)
= 3/25
3/25 is a simplest fraction for the decimal point number 0.12
<h2>
d ≈ 19.1 cm</h2>
<em>Using the formulas</em>
<em>C = 2πr</em>
<em>d = 2r</em>
<em>Solving for 'd' (diameter)</em>
<em>d = C</em>
<em>π = 60</em>
<em>π ≈ 19.09859cm</em>
<em />
Answer:
81
Step-by-step explanation:
The formula for calculating the sum of geometric series varies depending on the value of its common ratio.
Given the common ratio to be 2/3 which is less than 1, the formula to be used is given as;
Sn = a(1-rⁿ)/1-r
n is the number of terms of the series
a is the first term
r is the common ratio.
Sn is the sum of the series
Given n = 3, r = 2/3 and Sn = 171,
a= ?
Substituting this values in the formula we have;
171 = a{1-(2/3)³}/1-2/3
171 = a{1-8/27}/(1/3)
171 = a(19/27)/(1/3)
171 = 19a/27 × 3/1
171 = 57a/27
57a = 171×27
57a = 4,617
a = 4,617/57
a = 81
The first term of the series is 81
The ratios of the volumes is the cubes of the radii
so Its a 27:125
Answer:
1 7/20
Step-by-step explanation:
4/5 becomes 16/20
27/20
