Add the following fractions: 415 + 13(1 point)
Responses
35
Start Fraction 3 over 5 End Fraction
45
Start Fraction 4 over 5 End Fraction
518
Start Fraction 5 over 18 End Fraction
53
Start Fraction 5 over 3 End Fraction
45
To add the fractions 4/15 + 1/3, we need to find a common denominator. The least common multiple of 15 and 3 is 15.
To convert 4/15 to have a denominator of 15, we need to multiply both the numerator and denominator by 1 (since 15 divided by 15 is 1).
4/15 * 1/1 = 4/15
To convert 1/3 to have a denominator of 15, we need to multiply both the numerator and denominator by 5 (since 15 divided by 3 is 5).
1/3 * 5/5 = 5/15
Now, we can add the fractions together:
4/15 + 5/15 = 9/15
Since the numerator and denominator share a common factor (3), we can simplify the fraction:
9 divided by 3 is 3
15 divided by 3 is 5
So, the final sum is 3/5.
To add fractions, you need to have a common denominator. In this case, the fractions have different denominators, so you need to find a common denominator before adding them.
To find a common denominator, you can multiply the denominators of the fractions together. In this case, the denominators are 5 and 3, so their product is 15.
Now, you can convert the fractions to have a common denominator of 15. To do this, multiply both the numerator and denominator of each fraction by the same value so that the denominators become 15.
So, the fractions become:
415 = (4 * 15) / 5 = 60 / 5
13 = (13 * 15) / 3 = 195 / 3
Now that the fractions have a common denominator, you can add them:
60 / 5 + 195 / 3
To add the fractions, you need to find a common denominator. In this case, the common denominator is 15.
Now, add the numerators (the numbers on top) of the fractions:
60 + 195 = 255
The denominator remains the same:
255 / 15
To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and the denominator, and divide both the numerator and the denominator by the GCD.
In this case, the GCD of 255 and 15 is 15, so dividing both the numerator and the denominator by 15, you get:
255 / 15 = 17 / 1
Therefore, the sum of the fractions 415 and 13 is 17.