Answer:
T = 7
Step-by-step explanation:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/7*t-1/14*t-(t-7/2)=0
Step by step solution :
STEP
1
:
7
Simplify —
2
Equation at the end of step
1
:
4 1 7
((—•t)-(——•t))-(t-—) = 0
7 14 2
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
t t • 2
t = — = —————
1 2
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 :
2.2 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:
t • 2 - (7) 2t - 7
——————————— = ——————
2 2
Equation at the end of step
2
:
4 1 (2t-7)
((—•t)-(——•t))-—————— = 0
7 14 2
STEP
3
:
1
Simplify ——
14
Equation at the end of step
3
:
4 1 (2t - 7)
((— • t) - (—— • t)) - ———————— = 0
7 14 2
STEP
4
:
4
Simplify —
7
Equation at the end of step
4
:
4 t (2t - 7)
((— • t) - ——) - ———————— = 0
7 14 2
STEP
5
:
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 7
The right denominator is : 14
