Question

3 \frac{1}{4}[/tex] = }{2}" align="absmiddle" class="latex-formula">+ W

Answer 1

Answer:

Look below

Step-by-step explanation:

Conversion a mixed number 3 1/

4

to a improper fraction: 3 1/4 = 3 1/

4

= 3 · 4 + 1/

4

= 12 + 1/

4

= 13/

4

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

c) Write a previous answer (new numerator 13) over the denominator 4.

Three and one quarter is thirteen quarters

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Add: 13/

4

+ 7/

3

= 13 · 3/

4 · 3

+ 7 · 4/

3 · 4

= 39/

12

+ 28/

12

= 39 + 28/

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 - thirteen quarters plus seven thirds = sixty-seven twelfths.