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Answer:
6 5/4 - 1 2/3 = 67/12 = 5 7/12 = 5.5833333
Step-by-step explanation:
Conversion a mixed number 6 5/
4
to a improper fraction: 6 5/4 = 6 5/
4
= 6 · 4 + 5/
4
= 24 + 5/
4
= 29/
4
To find new numerator:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/
4
= 24/
4
b) Add the answer from previous step 24 to the numerator 5. New numerator is 24 + 5 = 29
c) Write a previous answer (new numerator 29) over the denominator 4.
Six and five quarters is twenty-nine quarters
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 29/
4
- 5/
3
= 29 · 3/
4 · 3
- 5 · 4/
3 · 4
= 87/
12
- 20/
12
= 87 - 20/
12
= 67/
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 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 - twenty-nine quarters minus five thirds = sixty-seven twelfths.
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Answer:
5 7/12
Step-by-step explanation:
5. 6 5/4 - 1 2/3 =
4×6+5=29 3×1+2=5
=29/4 =5/3
12 ÷ 4 × 29 - 12 ÷ 3 × 5
12 12
= 87/12 - 20/12
= 67/12
67 ÷ 12 = 5 7/12