Answer:
1.556
Step-by-step explanation:
Divide
3 and 1 over 23
1
2
÷ 2 and 1 over 42
1
4
= 28 over 18
28
18
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
3 and 1 over 23
1
2
= ( 3 × 2 ) over 2
3 × 2
2
+ 1 over 2
1
2
= ( 6 + 1 ) over 2
6 + 1
2
= 7 over 2
7
2
Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 42
1
4
= ( 2 × 4 ) over 4
2 × 4
4
+ 1 over 4
1
4
= ( 8 + 1 ) over 4
8 + 1
4
= 9 over 4
9
4
Step 1 of 2: Divide, sub-step c: Divide.
Divide
7 over 2
7
2
÷ 9 over 4
9
4
= 7 over 2
7
2
× 4 over 9
4
9
= ( 7 × 4 ) over ( 2 × 9 )
7 × 4
2 × 9
= 28 over 18
28
18
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Step 1 of 2: Divide.Hide
Step 2 of 2: Simplify.
Simplify
28 over 18
28
18
= 14 over 9
14
9
= 1 and 5 over 91
5
9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
28 over 18
28
18
= ( 28 ÷ 2 ) over ( 18 ÷ 2 )
28 ÷ 2
18 ÷ 2
= 14 over 9
14
9
2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
14 over 9
14
9
= 1 and 5 over 91
5
9
14 ÷ 9 = 1 remainder 5
