Simplify the following.
(a) 30/7 + 3/2
Answers
Answered by
1
Answer:
they are already simplified
Answered by
1
Answer:
Result in decimals: 5.7857142857143
Step-by-step explanation:
30
7
+
3
2
=
30 × 2
7 × 2
+
3 × 7
2 × 7
=
60
14
+
21
14
=
60 + 21
14
=
81
14
=
5 11
14
Further explanation
For the problem:
30
7
+
3
2
= ?
The Least Common Multiple (LCM) of 7 and 2 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
30
7
+
3
2
=
30 × 2
7 × 2
+
3 × 7
2 × 7
=
60
14
+
21
14
Now that the fractions have like denominators, add the numerators:
60
14
+
21
14
=
60 + 21
14
=
81
14
81 ÷ 14 = 5R11, therefore:
81
14
=
5 11
14
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