Solve.
x+3.5=4 1/3
Responses
x=4/5
x equals fraction 4 over 5
x=5/6
x equals fraction 5 over 6
x=47/6
x equals fraction 47 over 6
I don't know.
To solve the equation x + 3.5 = 4 1/3, we need to convert the mixed number 4 1/3 into an improper fraction.
The improper fraction equivalent of 4 1/3 is (4 × 3 + 1) / 3 = 13/3.
So, the equation becomes x + 3.5 = 13/3.
To solve for x, we need to isolate x on one side of the equation.
Subtracting 3.5 from both sides, we get:
x + 3.5 - 3.5 = 13/3 - 3.5
x = 13/3 - 3.5
To subtract fractions, we need to have a common denominator. The least common multiple of 3 and 2 (denominator of 3.5) is 6, so we'll express both fractions with a denominator of 6.
x = (13/3) * (2/2) - (3.5 * 6/6)
x = 26/6 - 21/6
x = (26 - 21)/6
x = 5/6
Therefore, the solution to the equation x + 3.5 = 4 1/3 is x = 5/6.
To solve the equation x + 3.5 = 4 1/3, you need to isolate the variable x on one side of the equation. Here's how you can do it:
1. Start by subtracting 3.5 from both sides of the equation:
x + 3.5 - 3.5 = 4 1/3 - 3.5
This simplifies to:
x = 4 1/3 - 3.5
2. To subtract the fractions, you need to find a common denominator. In this case, the common denominator is 3. So, rewrite 3.5 as a fraction with a denominator of 3:
x = 4 1/3 - 10/3
3. Now, you can combine the whole numbers and fractions:
x = 4 - 10/3
4. To subtract the fraction, you need to have a common denominator. Multiply the 4 by 3/3 to get a fraction with a denominator of 3:
x = 12/3 - 10/3
5. Subtract the fractions:
x = (12 - 10)/3
6. Simplify the numerator:
x = 2/3
Therefore, the solution to the equation x + 3.5 = 4 1/3 is x = 2/3.
To solve the equation x + 3.5 = 4 1/3, we need to isolate the variable x.
First, we can subtract 3.5 from both sides of the equation to get rid of it on the left side:
x + 3.5 - 3.5 = 4 1/3 - 3.5
x = 4 1/3 - 3.5
Next, we need to convert the mixed number 4 1/3 to an improper fraction. To do this, we multiply the whole number (4) by the denominator (3) and add the numerator (1):
4 * 3 + 1 = 13
So, 4 1/3 can be written as the improper fraction 13/3.
Substituting this value back into the equation:
x = 13/3 - 3.5
To perform this subtraction, we need to convert 3.5 into an equivalent fraction with the same denominator as 13/3. The denominator of 13/3 is 3, so we can rewrite 3.5 as 7/2:
x = 13/3 - 7/2
To subtract these fractions, we need to find a common denominator. The least common denominator (LCD) of 3 and 2 is 6. So, we need to rewrite both fractions with 6 as the denominator:
x = (13/3) * (2/2) - (7/2) * (3/3)
x = 26/6 - 21/6
Now that we have a common denominator, we can subtract the fractions:
x = (26 - 21)/6
x = 5/6
Therefore, x = 5/6 is the solution to the equation x + 3.5 = 4 1/3.