Solve for b. 1/7= 90/91 +b
1 answer:
♡ The Question ♡
・1/7 = 90/91 + B
Solve for B!
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* ♡ The Answer ♡
・B = -11/13
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♡ The Explanation/Step-By-Step ♡
・1/7 = 90/91 + B
Switch sides!
90/91 + B = 1/7
Subtract 90/91 from both sides!
90/91 + B - 90/91 = 1/7 - 90/91
Simplify!
90/91 + B - 90/91 : B
90/91 + B - 90/91
90/91 - 90/91 = 0
= B
Simplify!
1/7 - 90/91 : -11/13
1/7 - 90/91
= 13/91 - 90/91
Combine the fractions!
= 13 - 90 over 91
Subtract the numbers! : 13 - 90 = -77
= -77/91
Apply the fraction rule! : -a/b = -a/b
= -77/91
Cancel the common factor! : 7
= -11/13
B = -11/13
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*♡ Tips ♡
・No tips provided!
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Assuming the equation is:
When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.
Here the denominators are 2 and 10, hence the LCM is 10.
Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:
simplify, remember that there are always implied parentheses around numerators and denominators:
Now, distribute, i.e. remove parentheses and distribute:
5x-10x+25=30x+90-10x+140
Simplify
-5x+25=20x+230
transpose terms
25-230=20x+5x
solve
x=-205/25=-41/5
In this particular case, we can also take advantage of the term
(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.
If we do that, the solution will be:
Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:
simplify, remember that there are always implied parentheses around numerators and denominators:
Now, distribute, i.e. remove parentheses and distribute:
Simplify
-x+5=4x+46
solve
5-46=4x+x
-41=5x
x=-41/5
with the same results.