Question

Write 2.786 as a fraction in common form

Answer 1

Answer:

2 393/500

Step-by-step explanation:

Answer 2

To convert 2.786 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

2.786
1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 103 = 1000, so that there is no decimal point in the numerator

2.786 × 1000
1 × 1000
=
2786
1000

Since the greatest common factor of 2786 and 1000 is 2, we can simplify the fraction and show the same amount

2786 ÷ 2
1000 ÷ 2
=
1393
500

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 2.786 as a mixed number, thus 1393/500 is equal:

2
393
500

Therefore, 2.786 as a fraction is 1393/500 and It is written as 2 393/500 in mixed number form.