In the fraction ½, for instance, the numerator = 1 and the denominator = 2, and the fraction is one-half.
The fractions 3/5 and 2/5 have a common denominator of 5. The fractions 3/8, 5/8, and 17/8 have a common denominator of 8.
In the fractions 3/5 and 2/5, the numerators are 3 and 2. In the fractions 3/8, 5/8, and 17/8, the numerators are 3, 5, and 17.
The fractions 3/5 + 2/5 = 5/5 The fractions 3/8 + 5/8 + 17/8 = 25/8
Any fraction can be converted from a fraction by dividing the numerator by the denominator, and you’ll often end up with a decimal number. For instance, 5/8 can also be written as 5 ÷ 8, which equals 0. 625.
For instance, in the fraction 3/6, both the numerator and denominator have a common factor of 3, meaning they can both be divided by 3 to produce a whole number. Therefore, the fraction 3/6 can be thought of as 3 ÷ 3 / 6 ÷ 3 = ½.
Divide the improper fraction’s numerator by its denominator to determine how many whole times 8 goes into 25, where the answer is 25 ÷ 8 = 3(. 125) Determine what’s left over. If 8 x 3 = 24, subtract that from the original numerator: 25 – 24 = 1, where the difference is the new numerator. Rewrite the mixed number. The denominator will be the same from your original improper fraction, meaning 25/8 can be rewritten as 3 1/8.
The numerators are 12, 4, and 1 The common denominator is 26
12 – 4 – 1 = 7 Rewrite the fraction with the new numerator. 12/26 – 4/26 – 1/26 = 7/26.
An improper fraction that can be converted to a mixed number A fraction that can be solved through division A fraction that can be put into a simpler form by finding a common denominator
For instance, in the equation 5/8 + 6/9, the denominators are 8 and 9.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, etc. The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, etc. The least common multiple of 8 and 9 is 72.
For the fraction 5/8: to achieve the common denominator of 72, you multiply 8 x 9. Therefore, you must also multiply the numerator by 9, giving you 5 x 9 = 45 For the fraction 6/9: to achieve the common denominator of 72, you multiply 9 x 8. Therefore, you must also multiply the numerator by 8, giving you 6 x 8 = 48
The fraction 5/8 becomes 45/72, and the fraction 6/9 becomes 48/72. Since they now have a common denominator, you can add the fractions 45/72 + 48/72 = 93/72. Don’t forget to reduce, solve, or convert improper fractions to mixed numbers when applicable and necessary.
