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4 votes
8 3/5—2 1/3
Please help me

User Pvpkiran
by
7.9k points

2 Answers

1 vote

8 3/5 - 2 1/3 = 94/

15

= 6 4/

15

≅ 6.2666667

Explanation:

Conversion a mixed number 8 3/

5

to a improper fraction: 8 3/5 = 8 3/

5

= 8 · 5 + 3/

5

= 40 + 3/

5

= 43/

5

To find a new numerator:

a) Multiply the whole number 8 by the denominator 5. Whole number 8 equally 8 * 5/

5

= 40/

5

b) Add the answer from the previous step 40 to the numerator 3. New numerator is 40 + 3 = 43

c) Write a previous answer (new numerator 43) over the denominator 5.

Eight and three fifths is forty-three fifths.

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 a 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 the 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.

Subtract: 43/

5

- 7/

3

= 43 · 3/

5 · 3

- 7 · 5/

3 · 5

= 129/

15

- 35/

15

= 129 - 35/

15

= 94/

15

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 3) = 15. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - forty-three fifths minus seven thirds is ninety-four fifteenths.

User Rion
by
7.0k points
6 votes

Answer:

To subtract 2 1/3 from 8 3/5, we need to convert both mixed numbers to improper fractions first.

8 3/5 is equivalent to (8 × 5 + 3) / 5 = 43/5.

2 1/3 is equivalent to (2 * 3 + 1) / 3 = 7/3.

Now we can subtract the fractions:

43/5 - 7/3

To subtract fractions, we need a common denominator, which in this case is 15. We'll convert both fractions to have a denominator of 15:

(43/5) × (3/3) = 129/15

(7/3) × (5/5) = 35/15

Now we can subtract:

129/15 - 35/15 = (129 - 35) / 15 = 94/15

Therefore, 8 3/5 - 2 1/3 is equal to 94/15.

Explanation:

User Yedidya Rashi
by
8.5k points

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