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## 6 3/5 – 2 4/11=? Show your work :)

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6 3/5 – 2 4/11=?

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Mathematics
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2021-09-04T18:23:13+00:00
2021-09-04T18:23:13+00:00 2 Answers
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## Answers ( )

Answer:## 4.23636363636 is the ans☺️:)

Step-by-step explanation:## Thanku♥️

Conversion a mixed number 6 3/

5

to a improper fraction: 6 3/5 = 6 3/

5

= 6 · 5 + 3/

5

= 30 + 3/

5

= 33/

5

To find new numerator:

a) Multiply the whole number 6 by the denominator 5. Whole number 6 equally 6 * 5/

5

= 30/

5

b) Add the answer from previous step 30 to the numerator 3. New numerator is 30 + 3 = 33

c) Write a previous answer (new numerator 33) over the denominator 5.

Six and three fifths is thirty-three fifths

Conversion a mixed number 2 4/

11

to a improper fraction: 2 4/11 = 2 4/

11

= 2 · 11 + 4/

11

= 22 + 4/

11

= 26/

11

To find new numerator:

a) Multiply the whole number 2 by the denominator 11. Whole number 2 equally 2 * 11/

11

= 22/

11

b) Add the answer from previous step 22 to the numerator 4. New numerator is 22 + 4 = 26

c) Write a previous answer (new numerator 26) over the denominator 11.

Two and four elevenths is twenty-six elevenths

Subtract: 33/

5

– 26/

11

= 33 · 11/

5 · 11

– 26 · 5/

11 · 5

= 363/

55

– 130/

55

= 363 – 130/

55

= 233/

55

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(5, 11) = 55. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 11 = 55. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words – thirty-three fifths minus twenty-six elevenths = two hundred thirty-three fifty-fifths.

Result

6 3/5 – 2 4/11 = 233/

55

= 4 13/

55

≅ 4.2363636