2 3/12= 2 • 12/12+3/12=
2 3/12 = (2*12)/12 + 3/12
= 24/12 + 3/12
= 27/12
= 9/4
To simplify the expression 2 3/12, you need to convert the mixed number (2 3/12) into an improper fraction.
Step 1: Multiply the whole number, 2, by the denominator, 12:
2 * 12 = 24
Step 2: Add the numerator, 3, to the result from Step 1:
24 + 3 = 27
Step 3: Write the result from Step 2 over the denominator, 12:
27/12
Now, to further simplify the fraction 27/12, you need to divide both the numerator and denominator by their greatest common divisor, which is 3.
Step 4: Divide the numerator, 27, by 3:
27 ÷ 3 = 9
Step 5: Divide the denominator, 12, by 3:
12 ÷ 3 = 4
Therefore, the simplified fraction is 9/4.
To calculate 2 3/12, you need to convert the mixed number into an improper fraction. Here's how you can do it:
Step 1: Multiply the whole number by the denominator and add the numerator.
2 * 12 + 3 = 24 + 3 = 27
Step 2: Write the sum obtained in Step 1 as the numerator over the denominator.
2 3/12 = 27/12
Now, let's simplify the fraction by reducing it to its lowest terms. Both the numerator and denominator of 27/12 are divisible by 3:
Step 3: Divide the numerator and denominator by their greatest common divisor, which is 3.
27 ÷ 3 / 12 ÷ 3 = 9/4
So, 2 3/12 is equal to 9/4.
Now, let's move on to the second part of your problem:
2 * 12/12 + 3/12
First, we have 2 multiplied by 12/12. The denominator is the same as the numerator, so the product will be equal to the whole number:
2 * 12/12 = 2
Then, we add 2 with 3/12:
2 + 3/12
We can only add fractions when they have the same denominator. In this case, both fractions have a denominator of 12.
To add the fractions, we combine their numerators while keeping the denominator the same:
2 + 3/12 = 2/1 + 3/12
Now, let's find a common denominator for the fractions:
The smallest number that 1 and 12 can both divide into is 12 itself. So, we'll express 2 as 2/1 and then multiply its numerator and denominator by 12 to yield the common denominator:
2/1 × 12/12 = 24/12
Now, we can add the fractions:
2/1 + 3/12 = 24/12 + 3/12 = 27/12
Next, we simplify the fraction:
27/12 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 3:
27 ÷ 3 / 12 ÷ 3 = 9/4
Therefore, the answer to 2 3/12 = 2 * 12/12 + 3/12 is 9/4.