(3/4+2/5) ÷ (3/4 - 2/5) with steps please answer immediately
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1.Add: 3/4
+ 2/5
= 3 · 5/4 · 5
+ 2 · 4/5 · 4
= 15/20
+ 8/20
= 15/20 + 8/20
= 23/20
The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20
2.Subtract: 3/4
- 2/5
= 3 · 5/4 · 5
- 2 · 4/5 · 4
= 15/20
- 8/20
= 7/20
The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20
3.Divide: 23/20
: 7/20
= 23/20
· 20/7
= (23 · 20)/(20 · 7)
= 460/140
= 23/7
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
+ 2/5
= 3 · 5/4 · 5
+ 2 · 4/5 · 4
= 15/20
+ 8/20
= 15/20 + 8/20
= 23/20
The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20
2.Subtract: 3/4
- 2/5
= 3 · 5/4 · 5
- 2 · 4/5 · 4
= 15/20
- 8/20
= 7/20
The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20
3.Divide: 23/20
: 7/20
= 23/20
· 20/7
= (23 · 20)/(20 · 7)
= 460/140
= 23/7
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
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