4/7 in mud, 1/4 is pulled out, 5/2 still in myd what the length of rod
Answers
Answer:
let length of pole be x
4x/7 is in mud
1/4 of 4x/7 is pulled out
4x/28 is out
..
5/2 is still in the mud
..
x-4x/28= 5/2
28x-4x / 28 = 5/2
2(24x)=28*5
48x=140
x=2.91 m the length of the pole
Answer:-
≈ 3.321
Step-by-step explanation:-
Add
Highlighted:4 over 7
4
7
Highlighted:+ Highlighted:1 over 4
1
4
+ 5 over 2
5
2
= Highlighted:23 over 28
23
28
+ 5 over 2
5
2
Step 1 of 3: Add, sub-step a: Find common denominator.
Find common denominator
4 over 7
4
7
+ 1 over 4
1
4
= ( 4 × 4 ) over ( 7 × 4 )
4 × 4
7 × 4
+ ( 1 × 7 ) over ( 4 × 7 )
1 × 7
4 × 7
= 16 over 28
16
28
+ 7 over 28
7
28
28 is the least common multiple of denominators 7 and 4. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 3: Add, sub-step b: Add.
Add
16 over 28
16
28
+ 7 over 28
7
28
= ( 16 + 7 ) over 28
16 + 7
28
= 23 over 28
23
28
Step 1 of 3: Add.Hide
Step 2 of 3: Add.
Add
23 over 28
23
28
+ 5 over 2
5
2
= 93 over 28
93
28
Step 2 of 3: Add, sub-step a: Find common denominator.
Find common denominator
23 over 28
23
28
+ 5 over 2
5
2
= ( 23 × 1 ) over ( 28 × 1 )
23 × 1
28 × 1
+ ( 5 × 14 ) over ( 2 × 14 )
5 × 14
2 × 14
= 23 over 28
23
28
+ 70 over 28
70
28
28 is the least common multiple of denominators 28 and 2. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 3: Add, sub-step b: Add.
Add
23 over 28
23
28
+ 70 over 28
70
28
= ( 23 + 70 ) over 28
23 + 70
28
= 93 over 28
93
28
Step 2 of 3: Add.Hide
Step 3 of 3: Simplify.
Simplify
93 over 28
93
28
= 3 and 9 over 283
9
28
Step 3 of 3: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 93 and 28. The result can't be further reduced.
Step 3 of 3: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
93 over 28
93
28
= 3 and 9 over 283
9
28
93 ÷ 28 = 3 remainder 9
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