Conversion a mixed number 1 3/ 4 to a improper fraction: 1 3/4 = 1 3/ 4 = 1 · 4 + 3/ 4 = 4 + 3/ 4 = 7/ 4 To find a new numerator: a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/ 4 = 4/ 4
b) Add the answer from previous step 4 to the numerator 3. New numerator is 4 + 3 = 7 c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters is seven quarters Conversion a mixed number 2 3/ 8 to a improper fraction: 2 3/8 = 2 3/ 8 = 2 · 8 + 3/ 8 = 16 + 3/ 8 = 19/ 8
To find a new numerator: a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/ 8 = 16/ 8
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19 c) Write a previous answer (new numerator 19) over the denominator 8.
Two and three eighths is nineteen eighths Add: 7/ 4 + 19/ 8 = 7 · 2/ 4 · 2 + 19/ 8 = 14/ 8 + 19/ 8 = 14 + 19/ 8 = 33/ 8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - seven quarters plus nineteen eighths = thirty-three eighths.
