Since the denominator of the fraction 1/2 has to be multiplied by 2 to get 4 as the new base, you should multiply the numerator 1 by 2 as well. 1x2=2, so the new fraction is 2/4. The fraction 2/4 = 1/2, but has been put in a larger ratio to have a larger base. This means that the numbers are equivalent fractions. They have a different base, but their value remains the same. Since the fraction 3/4 already has the base of 4, you don’t have to change it.
2/4 + 3/4 = 5/4
First, divide the numerator by the denominator. Do long division to divide 4 into 5. 4 goes into 5 1 time. This means that the quotient is 1. The remainder, or the number that is left over, is 1. Make your quotient the new whole number. Take your remainder and place it over the original denominator to finish converting the improper fraction into a mixed number. The quotient is 1, the remainder is 1, and the original denominator was 4, so the final answer is 1 1/4.
To convert 1 1/2 to a mixed number, multiply the whole number 1 by the denominator 2, and then add it to the numerator. Put your new answer over the original base. 1 * 2 = 2, and 2 + 1 = 3. Place the answer 3 over the original denominator and you have 3/2. To convert 2 3/4 to a mixed number, multiply the whole number 2 by the denominator 4. 2 * 4 = 8. Next, add this number to the original numerator and place it over the original denominator. 8 + 3 = 11. Put 11 over 4 to get 11/4.
If one of the denominators is divisible by the other, the larger denominator is the LCM. The LCM of 2 and 4 is 4 because 4 is evenly divisible by 2.
Since the denominator of 3/2 has to be multiplied by 2 to get the new denominator of 4, you should multiply the numerator by 2 to find the equivalent fraction of 3/2. 3 * 2 = 6, so the new fraction is 6/4. Since 11/4 already has the denominator of 4, you’re in luck. You don’t have to change it.
6/4 + 11/4 = 17/4.
First, divide the numerator by the denominator. Divide 4 into 17. 4 goes into 17 4 times, so the quotient is 4. The remainder, or the number that is left over, is 1. Make your quotient the new whole number. Take your remainder and place it over the original denominator to finish converting the improper fraction into a mixed number. The quotient is 4, the remainder is 1, and the original denominator was 4, so the final answer is 4 1/4.