3
Step-by-step explanation: Subtract
1 over 5
1
5
− 4 = negative 19 over 5−
19
5
Step 1 of 2: Subtract, sub-step a: Convert integer to fraction.
Convert integer to fraction
4 = 4 over 1
4
1
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
1 over 5
1
5
− 4 over 1
4
1
= ( 1 × 1 ) over ( 5 × 1 )
1 × 1
5 × 1
− ( 4 × 5 ) over ( 1 × 5 )
4 × 5
1 × 5
= 1 over 5
1
5
− 20 over 5
20
5
5 is the least common multiple of denominators 5 and 1. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Subtract.
Subtract
1 over 5
1
5
− 20 over 5
20
5
= ( 1 − 20 ) over 5
1 − 20
5
= negative 19 over 5−
19
5
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 19 and 5. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
19 ÷ 5 = 3 remainder 4
Step 2 of 2: Simplify.
−
19
5
= negative 3 and 4 over 5− 3
4
5
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 19 and 5. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
negative 19 over 5−
19
5
= negative 3 and 4 over 5− 3
4
5
19 ÷ 5 = 3 remainder 4
