# What is 14/4-22/3?

How much is 144 minus 223. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

• - 236
• - 3 56
• 3.8333 (rounded to 4 decimals)

## Step by step solution

Subtract

144 - 223 = - 4612

1. ### Find common denominator by finding the Least Common Multiple(LCM)

Multiples of 4 are   4, 8, 12 ....etc

Multiples of 3 are   3, 6, 9, 12 ...etc

The LCM of 4 and 3 is 12. So, the common denominator of 144 and 223 is 12. Now change the fractions into equivalent fractions with common denominator

• 144 - 223
• 14 * 34 * 3 - 22 * 43 * 4
• 4212 - 8812
2. ### Subtract

• 4212 - 8812
• 42 - 8812
• - 4612

Subtract the numerators and place the difference over the common denominator.

Simplify

• - 4612
• - 236
• - 3 56
1. ### Reduce fraction to its lowest terms

• - 4612
• - 46 ÷ 212 ÷ 2
• - 236

The greatest common divisor of 46 and 12 is 2, the fraction - 4612 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

2. ### Convert improper fraction 236 to mixed number

• - 236
• - 3 56

23 divided by 6 is 3 with a remainder of 5