add the following fraction 8/3+43/9+41/6
Answers
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Conversion a mixed number 3 56/
34
to a improper fraction: 3 56/34 = 3 56/
34
= 3 · 34 + 56/
34
= 102 + 56/
34
= 158/
34
To find new numerator:
a) Multiply the whole number 3 by the denominator 34. Whole number 3 equally 3 * 34/
34
= 102/
34
b) Add the answer from previous step 102 to the numerator 56. New numerator is 102 + 56 = 158
c) Write a previous answer (new numerator 158) over the denominator 34.
Three and fifty-six thirty-fourths is one hundred fifty-eight thirty-fourths
Conversion a mixed number 5 1/
2
to a improper fraction: 5 1/2 = 5 1/
2
= 5 · 2 + 1/
2
= 10 + 1/
2
= 11/
2
To find new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/
2
= 10/
2
b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11
c) Write a previous answer (new numerator 11) over the denominator 2.
Five and one half is eleven halfs
Subtract: 158/
34
- 11/
2
= 158/
34
- 11 · 17/
2 · 17
= 158/
34
- 187/
34
= 158 - 187/
34
= -29/
34
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(34, 2) = 34. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 34 × 2 = 68. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - one hundred fifty-eight thirty-fourths minus eleven halfs = minus twenty-nine thirty-fourths.