184k views
0 votes
3/8 + 2/3 - 1/4 ? please help

User Frifle
by
5.9k points

2 Answers

5 votes

Answer:

Explanation:

3/8 + 2/3 - 1/4 = 19/24 ≅ 0.7916667

Add: 3/

8

+ 2/

3

= 3 · 3/

8 · 3

+ 2 · 8/

3 · 8

= 9/

24

+ 16/

24

= 9 + 16/

24

= 25/

24

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(8, 3) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 3 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three eighths plus two thirds is twenty-five twenty-fourths.

Subtract: the result of step No. 1 - 1/

4

= 25/

24

- 1/

4

= 25/

24

- 1 · 6/

4 · 6

= 25/

24

- 6/

24

= 25 - 6/

24

= 19/

24

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(24, 4) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 4 = 96. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - twenty-five twenty-fourths minus one quarter is nineteen twenty-fourths.

User Napuzba
by
5.7k points
1 vote
3/8=6/16, 2/3=12/16, 1/4=4/16.
6/16+12/16-4/16=14/16=7/8
User Jaguar
by
6.2k points