To simplify 0.625 + 3/4, we first need to convert 0.625 into a fraction with a common denominator as 3/4.
0.625 can be written as 625/1000.
Now, we can add the two fractions:
625/1000 + 3/4
To find a common denominator, we need to find the least common multiple (LCM) of 1000 and 4, which is 1000.
We change the denominators of both fractions to 1000:
625/1000 + 3/4 becomes (625/1000)(4/4) + 3/4.
Multiplying 625/1000 by 4/4 gives us 2500/4000.
So the equation becomes 2500/4000 + 3/4.
Now that both fractions have the same denominator, we can simply add the numerators:
2500/4000 + 3/4 = (2500 + 3)/4000.
The numerator becomes 2503 and the denominator remains 4000.
Therefore, the simplified answer is 2503/4000.
How would you simplify
0.625 + 3/4?
3 answers
Alright but my answer choices are 10/9, 11/8, 3/2, 8/11
To simplify 0.625 + 3/4, let's convert 0.625 into a fraction with a common denominator as 3/4.
0.625 can be written as 625/1000.
Now, we can add the two fractions:
625/1000 + 3/4
To find a common denominator, we need to find the least common multiple (LCM) of 1000 and 4, which is 1000.
We change the denominators of both fractions to 1000:
625/1000 + 3/4 becomes (625/1000)(4/4) + (3/4)(250/250), which simplifies to (2500/4000) + (750/4000).
Adding the numerators, we get:
2500/4000 + 750/4000 = 3250/4000.
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 250:
(3250/2500) / (4000/2500) = 13/10.
Therefore, the simplified answer is 13/10, which is not one of the answer choices provided.
0.625 can be written as 625/1000.
Now, we can add the two fractions:
625/1000 + 3/4
To find a common denominator, we need to find the least common multiple (LCM) of 1000 and 4, which is 1000.
We change the denominators of both fractions to 1000:
625/1000 + 3/4 becomes (625/1000)(4/4) + (3/4)(250/250), which simplifies to (2500/4000) + (750/4000).
Adding the numerators, we get:
2500/4000 + 750/4000 = 3250/4000.
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 250:
(3250/2500) / (4000/2500) = 13/10.
Therefore, the simplified answer is 13/10, which is not one of the answer choices provided.