1. 3/4-5/6
2. 20 3/4- 18 2/3
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Answer:
1) 1/12
2)2 1/12
Step-by-step explanation:
1.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(4, 6) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 6 = 24. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - three quarters minus five sixths = minus one twelfth.
2.Conversion a mixed number 20 3
4
to a improper fraction: 20 3/4 = 20 3
4
= 20 · 4 + 3
4
= 80 + 3
4
= 83
4
To find new numerator:
a) Multiply the whole number 20 by the denominator 4. Whole number 20 equally 20 * 4
4
= 80
4
b) Add the answer from previous step 80 to the numerator 3. New numerator is 80 + 3 = 83
c) Write a previous answer (new numerator 83) over the denominator 4.
Twenty and three quarters is eighty-three quarters
Conversion a mixed number 18 2
3
to a improper fraction: 18 2/3 = 18 2
3
= 18 · 3 + 2
3
= 54 + 2
3
= 56
3
To find new numerator:
a) Multiply the whole number 18 by the denominator 3. Whole number 18 equally 18 * 3
3
= 54
3
b) Add the answer from previous step 54 to the numerator 2. New numerator is 54 + 2 = 56
c) Write a previous answer (new numerator 56) over the denominator 3.
Eighteen and two thirds is fifty-six thirds
Subtract: 83
4
- 56
3
= 83 · 3
4 · 3
- 56 · 4
3 · 4
= 249
12
- 224
12
= 249 - 224
12
= 25
12
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(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - eighty-three quarters minus fifty-six thirds = twenty-five twelfths.