Simplify the expression.
0.625+3/4
(1 point)
Responses
118
11 eighths
32
3 halves
119
11 ninths
811
8 over 11
The simplified expression is 1.375 or 11/8.
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two numbers.
The decimal 0.625 can be written as a fraction by dividing it by 1/1000, which gives us 625/1000.
Now, let's find a common denominator for 625/1000 and 3/4. The least common multiple of 1000 and 4 is 1000.
Multiplying the numerator and denominator of 3/4 by 250 gives us (3 * 250)/(4 * 250) = 750/1000.
Now we can add the two fractions together:
625/1000 + 750/1000 = (625 + 750)/1000 = 1375/1000.
Simplifying the fraction 1375/1000 is done by dividing both the numerator and denominator by their greatest common divisor, which is 125.
Dividing 1375 by 125 gives us 11, and dividing 1000 by 125 gives us 8.
Therefore, the simplified expression 0.625 + 3/4 is equal to 11/8.
To simplify the expression 0.625 + 3/4, we need to convert the decimal number 0.625 to a fraction.
To convert the decimal 0.625 to a fraction:
Step 1: Write down the decimal number as the numerator.
0.625
Step 2: Find the place value of the rightmost digit. Here, it's at the thousandth place.
Step 3: Create the denominator by adding a '1' followed by zeros based on the number of digits after the decimal point.
Since there are 3 digits after the decimal point in 0.625, the denominator will be '1000'.
Step 4: Simplify the fraction if possible. In this case, the fraction is already in its simplest form.
The converted fraction is 625/1000.
Now, let's simplify the expression 0.625 + 3/4 by finding a common denominator and adding the fractions.
The denominators are 1000 and 4. To find the common denominator, we need to find the least common multiple (LCM) of 1000 and 4, which is 1000.
To convert the fraction 3/4 to have a denominator of 1000, we need to multiply both the numerator and denominator by 250:
3/4 * 250/250 = 750/1000.
Now we can add the fractions:
0.625 + 3/4 = 625/1000 + 750/1000 = (625 + 750)/1000 = 1375/1000.
This fraction can be simplified further. Both the numerator and denominator can be divided by 125:
1375 ÷ 125 / 1000 ÷ 125 = 11/8.
So, the simplified expression is 11/8.