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SVETLANKA909090 [29]
3 years ago
5

(add. write your answer as a fraction, as a whole or as a mixed number)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

As decimal 20.5833333333

As fraction 20 \frac{7}{12}

mark me as brainliest if right :)

Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

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(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.

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