What value of b makes the equation below true?
b+1/4=12/12
Please show work
Thanks
Which value for b makes the equation b/4 = 12 true?
To find the value of b that makes the equation true, we need to isolate the variable b on one side of the equation. Let's go step by step:
1. Start with the equation: b + 1/4 = 12/12.
2. We can simplify the right-hand side by converting 12/12 to its simplest form. Both 12 and 12 are divisible by 12, so the fraction becomes 1.
Therefore, the equation becomes: b + 1/4 = 1.
3. To isolate the variable b, we need to move the 1/4 to the other side of the equation. Since 1/4 has a positive sign, we need to subtract it from both sides.
Subtracting 1/4 from both sides gives us: b + 1/4 - 1/4 = 1 - 1/4.
Simplifying further, we have: b + 0 = 1 - 1/4.
4. Any number plus 0 is equal to that number. So, the equation becomes: b = 1 - 1/4.
5. To subtract fractions, the denominators need to be the same. In this case, we need to convert the whole number 1 to an equivalent fraction with a denominator of 4.
Multiplying both the numerator and the denominator of 1 by 4, we get: 4/4.
So, the equation becomes: b = 4/4 - 1/4.
6. Now, we can combine the fractions by subtracting their numerators, and keeping the denominator the same, to get the final answer:
b = (4 - 1) / 4.
Simplifying the numerator gives us: b = 3/4.
Therefore, the value of b that makes the equation true is b = 3/4.
b+1/4=12/12
b = 1 - 1/4
b = 3/4