Convert the first mixed number, 1 3/4, to an improper fraction by multiplying the denominator of the fraction -- 4 -- by the whole number, which is 1. Add it to the numerator, 3, then finish by placing that sum over the original denominator. The resulting improper fraction equals 7/4.
Convert the second mixed number, 2 3/8, to an improper fraction by multiplying the denominator of the fraction -- 8 -- by the whole number -- 2 -- and add it to the numerator -- which is 3. Finish by placing that sum over the original denominator. The resulting improper fraction equals 19/8.
Find the Lowest Common Denominator for both improper fractions by making a numeric series for each denominator made of multiples of that denominator. Extend these series only until you find a common number in both series the LCD. These series for our example will be 4 and 8 for the denominator 4 and 8 for the denominator 8. The LCD is 8.
Convert both improper fractions to fractions with the same LCD -- 8. Because 8 is already the same as the denominator of 19/8, you do not need to do anything to this fraction. Divide the other denominator, 4, into the LCD, 8. The answer is 2. Multiply the numerator by 2and place it over the LCD. The new fraction is 14/8.
Add the two numerators with the same LCD together -- 19 plus 14 equals 33. Place 33 over the LCD, 8. The addition yields 33/8. Convert this number back into a mixed number if necessary.
Convert the first mixed number, 1 3/4, to an improper fraction by multiplying the denominator of the fraction -- 4 -- by the whole number, which is 1. Add it to the numerator, 3, then finish by placing that sum over the original denominator. The resulting improper fraction equals 7/4.
Convert the second mixed number, 2 3/8, to an improper fraction by multiplying the denominator of the fraction -- 8 -- by the whole number -- 2 -- and add it to the numerator -- which is 3. Finish by placing that sum over the original denominator. The resulting improper fraction equals 19/8.
Find the Lowest Common Denominator for both improper fractions by making a numeric series for each denominator made of multiples of that denominator. Extend these series only until you find a common number in both series the LCD. These series for our example will be 4 and 8 for the denominator 4 and 8 for the denominator 8. The LCD is 8.
Convert both improper fractions to fractions with the same LCD -- 8. Because 8 is already the same as the denominator of 19/8, you do not need to do anything to this fraction. Divide the other denominator, 4, into the LCD, 8. The answer is 2. Multiply the numerator by 2and place it over the LCD. The new fraction is 14/8.
Subtract the two numerators with the same LCD -- 19 minus 14 equals 5. Place 5 over the LCD, 8. The addition yields 5/8.
Convert the first mixed number, 1 3/4, to an improper fraction by multiplying the denominator of the fraction -- 4 -- by the whole number, which is 1. Add it to the numerator, 3, then finish by placing that sum over the original denominator. The resulting improper fraction equals 7/4.
Convert the second mixed number, 2 3/8, to an improper fraction by multiplying the denominator of the fraction -- 8 -- by the whole number -- 2 -- and add it to the numerator -- which is 3. Finish by placing that sum over the original denominator. The resulting improper fraction equals 19/8.
Find the Lowest Common Denominator for both improper fractions by making a numeric series for each denominator made of multiples of that denominator. Extend these series only until you find a common number in both series the LCD. These series for our example will be 4 and 8 for the denominator 4 and 8 for the denominator 8. The LCD is 8.
Convert both improper fractions to fractions with the same LCD -- 8. Because 8 is already the same as the denominator of 19/8, you do not need to do anything to this fraction. Divide the other denominator, 4, into the LCD, 8. The answer is 2. Multiply the numerator by 2and place it over the LCD. The new fraction is 14/8.
Multiply both numerators with the same LCD, 33 and 14. The result equal 462. Place this new numerator over the LCD, 8. The result will be 463/8. Convert to a mixed number if needed.
Convert the first mixed number, 1 3/4, to an improper fraction by multiplying the denominator of the fraction -- 4 -- by the whole number, which is 1. Add it to the numerator, 3, then finish by placing that sum over the original denominator. The resulting improper fraction equals 7/4.
Convert the second mixed number, 2 3/8, to an improper fraction by multiplying the denominator of the fraction -- 8 -- by the whole number -- 2 -- and add it to the numerator -- which is 3. Finish by placing that sum over the original denominator. The resulting improper fraction equals 19/8.
Find the Lowest Common Denominator for both improper fractions by making a numeric series for each denominator made of multiples of that denominator. Extend these series only until you find a common number in both series the LCD. These series for our example will be 4 and 8 for the denominator 4 and 8 for the denominator 8. The LCD is 8.
Convert both improper fractions to fractions with the same LCD -- 8. Because 8 is already the same as the denominator of 19/8, you do not need to do anything to this fraction. Divide the other denominator, 4, into the LCD, 8. The answer is 2. Multiply the numerator by 2and place it over the LCD. The new fraction is 14/8.
Invert the first fraction 14/8 to 8/14 and multiply by the second fraction 33/8 if you are dividing by 14/8. Each 8 will cancel out and you will be left with just the 33/14. To divide 14/8 by 33/8, invert 33/8 to 8/33 and multiply by 14/8. Again, each 8 cancels out. You are left with a new fraction, 14/33.