159k views
4 votes
What is 385/132 - 2 1/4 as a fraction with explanation

User Tidy
by
8.8k points

1 Answer

6 votes

To subtract the mixed number 2 1/4 from the fraction 385/132, we first need to convert the mixed number to an improper fraction.

2 1/4 can be written as (2 * 4 + 1) / 4 = 9/4.

Now, we have the subtraction expression: 385/132 - 9/4.

To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 132 and 4 is 132.

We can convert both fractions to have a denominator of 132:

385/132 - 9/4 = (385/132) * (4/4) - (9/4) * (33/33)

= 1540/528 - 297/132

Now that both fractions have a common denominator of 132, we can subtract them:

1540/528 - 297/132 = (1540 - 297) / 132

= 1243/132

The resulting fraction is 1243/132.

However, we can simplify this fraction further by finding the greatest common divisor (GCD) of the numerator and denominator, which is 17.

Dividing both the numerator and denominator by 17, we get:

1243/132 = (1243/17) / (132/17)

= 73/8

Therefore, the fraction 385/132 - 2 1/4 is equal to 73/8.

User Sebasaenz
by
8.2k points