32/4=b+4/3
32/4=b+4/3
96/12 = 96/12
4/3 = 16/12
96/12 = b + 16/12
80/12 = b
6 2/3 = b
Fractions are always messy. Since the LCD of 1/3 and 1/4 is 12, try multiplying everything by 12. Then you have
96 = 12b + 16
Now you can find b, right?
To solve the equation 32/4 = b + 4/3, we can follow these steps:
Step 1: Simplify the fractions on both sides of the equation.
32/4 can be simplified by dividing both the numerator and the denominator by 4, giving us 8/1 or simply 8.
4/3 cannot be simplified any further.
Therefore, the equation simplifies to 8 = b + 4/3.
Step 2: Isolate the variable by subtracting 4/3 from both sides of the equation.
8 - 4/3 = b + 4/3 - 4/3
After combining like terms, we get:
8 - 4/3 = b + 0
8 - 4/3 = b
Step 3: Convert the mixed number (8 - 4/3) to an improper fraction.
To convert the mixed number 8 - 4/3 to an improper fraction, we first multiply the whole number (8) by the denominator of the fraction (3) and add the result to the numerator (4). This gives us:
24/3 - 4/3 = b
Step 4: Simplify the left side of the equation.
24/3 - 4/3 equals to 20/3.
So, the equation simplifies further to:
20/3 = b
Thus, the value of b in the equation 32/4 = b + 4/3 is 20/3.