Conversion a mixed number 3 3
7
to a improper fraction: 3 3/7 = 3 3
7
= 3 · 7 + 3
7
= 21 + 3
7
= 24
7
To find new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7
7
= 21
7
b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24
c) Write previous answer (new numerator 24) over the denominator 7.
Three and three sevenths is twenty-four sevenths
Conversion a mixed number 4 5
7
to a improper fraction: 4 5/7 = 4 5
7
= 4 · 7 + 5
7
= 28 + 5
7
= 33
7
To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7
7
= 28
7
b) Add the answer from previous step 28 to the numerator 5. New numerator is 28 + 5 = 33
c) Write previous answer (new numerator 33) over the denominator 7.
Four and five sevenths is thirty-three sevenths
Add: 24
7
+ 33
7
= 24 + 33
7
= 57
7
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.
Answer:
$8,240
Step-by-step explanation:
We are given that,
Principle amount in the savings account, P = $5,000.
Rate of interest, r = 5% = 0.05
Time period, t = 10
Also, the interest is compounded monthly, n = 12
As, we now that the value of the investment is given by 
Thus, we have,
Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = $8,240
Hence, the investment amount after 10 years is $8,240.