Respuesta :
Answer:
Step-by-step explanation:
Conversion a mixed number 11 5/8 to a improper fraction: 11 5/8 = 11 5/ 8 = 11 · 8 + 5/8 = 88 + 5/8 = 93/8
To find new numerator:
a) Multiply the whole number 11 by the denominator 8. Whole number 11 equally 11 * 8/8 = 88/8
b) Add the answer from previous step 88 to the numerator 5. New numerator is 88 + 5 = 93
c) Write a previous answer (new numerator 93) over the denominator 8.
Eleven and five eighths is ninety-three eighths
Conversion a mixed number 2 1/16 to a improper fraction: 2 1/16 = 2 1/16 = 2 · 16 + 1/16 = 32 + 1/16 = 33/16
To find new numerator:
a) Multiply the whole number 2 by the denominator 16. Whole number 2 equally 2 * 16/16 = 32/16
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write a previous answer (new numerator 33) over the denominator 16.
Two and one sixteenth is thirty-three sixteenths
Subtract: 93/8 - 33/16 = 93 · 2/8 · 2 - 33/16 = 186/16 - 33/16 = 186 - 33/16 = 153/16
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 the both denominators - LCM(8, 16) = 16. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 16 = 128. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - ninety-three eighths minus thirty-three sixteenths = one hundred fifty-three sixteenths.
