Simplify the expression. 0.625+3/4

3 answers

To simplify the expression 0.625 + 3/4, you can convert the decimal 0.625 into a fraction by placing it over 1, then multiplying the numerator and denominator by 1000 to remove the decimal. This gives you 625/1000. Now, you can add the fractions:

625/1000 + 3/4

Since the denominators are different, you need to find a common denominator. In this case, the least common denominator is 1000.

So, you need to rewrite both fractions with a denominator of 1000:

625/1000 + 3/4 * 250/250 (multiplying 3/4 by 250/250 is equivalent to multiplying by 1, as 250/250 = 1)

This gives you:

625/1000 + 750/1000

Now that the fractions have the same denominator, you can simply add their numerators:

625/1000 + 750/1000 = (625 + 750)/1000 = 1375/1000

Therefore, the simplified expression is 1375/1000.
wrong
Apologies for the mistake. Let's simplify the expression correctly.

To simplify 0.625 + 3/4, we need to convert the decimal to a fraction.

0.625 can be written as 625/1000 because the decimal is three places to the right of the decimal point, and we can multiply both numerator and denominator by 1000 to get an equivalent fraction.

So, the expression becomes:

625/1000 + 3/4

To add these fractions, we need a common denominator, which in this case is 1000.

We can convert 3/4 to have a denominator of 1000 by multiplying both the numerator and denominator by 250:

625/1000 + (3/4) * (250/250)
625/1000 + 750/1000

Now, we can add the fractions:

(625 + 750)/1000
1375/1000

The fraction 1375/1000 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 125:

1375/1250

Therefore, the simplified expression is 11/8.