4/3+3/5-2/3-11/5
please solve this question for me
Answers
Answer:
−
14
15
≈negative 0.933−0.933
Step-by-step explanation:
Step by step
Step 1 of 4: Add.
Add
Highlighted:4 over 3
4
3
Highlighted:+ Highlighted:3 over 5
3
5
− 2 over 3
2
3
− 11 over 5
11
5
= Highlighted:29 over 15
29
15
− 2 over 3
2
3
− 11 over 5
11
5
Step 1 of 4: Add, sub-step a: Find common denominator.
Find common denominator
4 over 3
4
3
+ 3 over 5
3
5
= ( 4 × 5 ) over ( 3 × 5 )
4 × 5
3 × 5
+ ( 3 × 3 ) over ( 5 × 3 )
3 × 3
5 × 3
= 20 over 15
20
15
+ 9 over 15
9
15
15 is the least common multiple of denominators 3 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 4: Add, sub-step b: Add.
Add
20 over 15
20
15
+ 9 over 15
9
15
= ( 20 + 9 ) over 15
20 + 9
15
= 29 over 15
29
15
Step 1 of 4: Add.Hide
Step 2 of 4: Subtract.
Subtract
Highlighted:29 over 15
29
15
Highlighted:− Highlighted:2 over 3
2
3
− 11 over 5
11
5
= Highlighted:19 over 15
19
15
− 11 over 5
11
5
Step 2 of 4: Subtract, sub-step a: Find common denominator.
Find common denominator
29 over 15
29
15
− 2 over 3
2
3
= ( 29 × 1 ) over ( 15 × 1 )
29 × 1
15 × 1
− ( 2 × 5 ) over ( 3 × 5 )
2 × 5
3 × 5
= 29 over 15
29
15
− 10 over 15
10
15
15 is the least common multiple of denominators 15 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 4: Subtract, sub-step b: Subtract.
Subtract
29 over 15
29
15
− 10 over 15
10
15
= ( 29 − 10 ) over 15
29 − 10
15
= 19 over 15
19
15
Step 2 of 4: Subtract.Hide
Step 3 of 4: Subtract.
Subtract
19 over 15
19
15
− 11 over 5
11
5
= negative 14 over 15−
14
15
Step 3 of 4: Subtract, sub-step a: Find common denominator.
Find common denominator
19 over 15
19
15
− 11 over 5
11
5
= ( 19 × 1 ) over ( 15 × 1 )
19 × 1
15 × 1
− ( 11 × 3 ) over ( 5 × 3 )
11 × 3
5 × 3
= 19 over 15
19
15
− 33 over 15
33
15
15 is the least common multiple of denominators 15 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 3 of 4: Subtract, sub-step b: Subtract.
Subtract
19 over 15
19
15
− 33 over 15
33
15
= ( 19 − 33 ) over 15
19 − 33
15
= negative 14 over 15−
14
15
Step 3 of 4: Subtract.Hide
Step 4 of 4: Simplify.
Simplify
negative 14 over 15−
14
15
Step 4 of 4: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 14 and 15. The result can't be further reduced.
Answer:
The correct answer is -0.93333333333