simplify (2×3/4) + [4/5 + (3/-2)]
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Answer:
Find the least common denominator or LCM of the two denominators:
LCM of 3 and 5 is 15
Next, find the equivalent fraction of both fractional numbers with denominator 15
For the 1st fraction, since 3 × 5 = 15,
2
3
=
2 × 5
3 × 5
=
10
15
Likewise, for the 2nd fraction, since 5 × 3 = 15,
4
5
=
4 × 3
5 × 3
=
12
15
Add the two like fractions:
10
15
+
12
15
=
10 + 12
15
=
22
15
So, 2/3 + 4/5 = 22/15
In mixed form: 1
7
15
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