Answers
Answer:
Step by Step Solution:
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "0.25" was replaced by "(25/100)". 2 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-3/10*x-9-((5/100)/(25/100))=0
Step by step solution :
STEP
1
:
1
Simplify —
4
Equation at the end of step
1
:
3 5 1
((4x-(——•x))-9)-——— ÷ — = 0
10 100 4
STEP
2
:
1
Simplify ——
20
Equation at the end of step
2
:
3 1 1
((4x-(——•x))-9)-—— ÷ — = 0
10 20 4
STEP
3
:
1 1
Divide —— by —
20 4
3.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 1 1 4
—— ÷ — = —— • —
20 4 20 1
Equation at the end of step
3
:
3 1
((4x - (—— • x)) - 9) - — = 0
10 5
STEP
4
:
3
Simplify ——
10
Equation at the end of step
4
:
3 1
((4x - (—— • x)) - 9) - — = 0
10 5
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
4x 4x • 10
4x = —— = ———————
1 10
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:
4x • 10 - (3x) 37x
—————————————— = ———
10 10
Equation at the end of step
5
:
37x 1
(——— - 9) - — = 0
10 5
STEP
6
:
Rewriting the whole as an Equivalent Fraction
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 10 as the denominator :
9 9 • 10
9 = — = ——————
1 10
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
37x - (9 • 10) 37x - 90
—————————————— = ————————
10 10
Equation at the end of step
6
:
(37x - 90) 1
—————————— - — = 0
10 5
STEP
7
:
Calculating the Least Common Multiple