Answer:
[tex]\frac{94}{21}[/tex] or [tex]4.47619[/tex] or [tex]4 \frac{10}{21}[/tex]
Step-by-step explanation:
(1): 0.7 was replaced by (7/10).
STEP 1: Negative number raised to an even power is positive
For example let's look at (-7)^6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)^6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 7^6 which is positive.
We proved that (-7)^6 is equal to (7)^6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
Equation at the end of step 1:
1 7
— ÷ —— + 2^2
3 10
STEP 2:
7
Simplify ——
10
Equation at the end of step 2:
1 7
— ÷ —— + 2^2
3 10
STEP 3:
1
Simplify —
3
Equation at the end of step 3:
1 7
— ÷ —— + 2^2
3 10
STEP 4:
1 7
Divide — by ——
3 10
Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 7 1 10
— ÷ —— = — • ——
3 10 3 7
Equation at the end of step 4:
10
—— + 22
21
STEP 5:
Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 21 as the denominator :
22 22 • 21
22 = —— = ———————
1 21
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
10 + 22 • 21 94
———————————— = 94/21
21 21
