Devide the sum of - 13/5 and 12/7 by the product - 13/7 and - 1/2
Answers
Ans 5 whole and 17 /70
Step-by-step explanation:
The Least Common Multiple (LCM) of 5 and 7 is 35. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
13 /5
+
12 /7
=
13 × 7
5 × 7
+
12 × 5
7 × 5
=
91 /35
+
60 /35
Now that the fractions have like denominators, add the numerators:
91 /35
+
60 /35
=
91 + 60 /35
=
151 /35
151 ÷ 35 = 4x11, therefore:
151 /35
=
4 11 /35
The result is:
13 /5
+
12 /7
=
4 whole and 11 /35
Product - 13/7 and - 1/2
13 /7
×
1 \2
= ?
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
13 × 1
7 × 2
=
13 /14
The result is:
13 /7
×
1 /2
=
13 /14
4 11 /35 Divided by 13/14
4 11
35
+
13
14
= ?
Combine the whole numbers and fractions together:
(4 + 0) + (
11
35
+
13
14
)
The whole numbers part is:
4 + 0 = 4
For the fractions part:
The Least Common Multiple (LCM) of 35 and 14 is 70. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
11 /35
+
13 /14
=
11 × 2
35 × 2
+
13 × 5
14 × 5
=
22 /70
+
65 /70
Now that the fractions have like denominators, add the numerators:
22 /70
+
65 /70
=
22 + 65 /70
=
87 /70
87 ÷ 70 = 1R17, therefore:
87 /70
=
1 17 /70
Put the whole number and fraction together:
4 +
1 17 /70
=
5 17 /70
The result is:
4 11 /35
+
13 /14
=
5 17 /70