How would you simplify
0.625 + 3/4?
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.
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.
To simplify the expression 0.625 + 3/4, you need to find a common denominator for the two numbers.
Step 1: Convert 0.625 to a fraction.
Since 0.625 is a decimal, you can convert it to a fraction by moving the decimal point three places to the right (625/1000).
Step 2: Find the common denominator.
The denominators of the two fractions are 1000 and 4. The least common multiple of 1000 and 4 is 1000.
Step 3: Rewrite both fractions with the common denominator.
625/1000 + 3/4 = 625/1000 + 750/1000
Step 4: Add the numerators and keep the common denominator.
625 + 750 = 1375
The common denominator is still 1000.
Step 5: Simplify the fraction.
The simplified fraction is 1375/1000.
Step 6: Further simplify, if possible.
You can divide both the numerator and denominator by the greatest common divisor (GCD) to reduce the fraction to the simplest form. In this case, the GCD of 1375 and 1000 is 125.
Dividing both the numerator and denominator by 125:
1375/1000 = 11/8
Therefore, the simplified form of 0.625 + 3/4 is 11/8.