# What is 5/22-21/7?

How much is 522 minus 217. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

• - 6122
• - 2 1722
• 2.7727 (rounded to 4 decimals)

## Step by step solution

Subtract

522 - 217 = - 427154

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

Multiples of 22 are   22, 44, 66, 88, 110, 132, 154 ....etc

Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 154 ...etc

The LCM of 22 and 7 is 154. So, the common denominator of 522 and 217 is 154. Now change the fractions into equivalent fractions with common denominator

• 522 - 217
• 5 * 722 * 7 - 21 * 227 * 22
• 35154 - 462154
2. ### Subtract

• 35154 - 462154
• 35 - 462154
• - 427154

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

Simplify

• - 427154
• - 6122
• - 2 1722
1. ### Reduce fraction to its lowest terms

• - 427154
• - 427 ÷ 7154 ÷ 7
• - 6122

The greatest common divisor of 427 and 154 is 7, the fraction - 427154 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.

2. ### Convert improper fraction 6122 to mixed number

• - 6122
• - 2 1722

61 divided by 22 is 2 with a remainder of 17