Add the fractions and write your answer in lowest terms.
two-fifths + one-ninth
(1 point)
Responses
one fifteenth
Image with alt text: one fifteenth
Image with alt text:
start fraction 3 over 14 end fraction
Image with alt text: start fraction 3 over 14 end fraction
The correct answer is "start fraction 23 over 45 end fraction."
Subtract the fractions and write your answer in lowest terms.
four-fifths – three-eighths
(1 point)
Responses
one over forty
Image with alt text: one over forty
one and seven over forty
Image with alt text: one and seven over forty
seven over ten
Image with alt text: seven over ten
seventeen over forty
To add the fractions two-fifths and one-ninth, you need to find a common denominator. The common denominator for 5 and 9 is 45.
Next, you need to convert the fractions so that they have the same denominator. To convert two-fifths to a fraction with a denominator of 45, you multiply the numerator and denominator by 9:
2/5 * 9/9 = 18/45
Now, to convert one-ninth to a fraction with a denominator of 45, you multiply the numerator and denominator by 5:
1/9 * 5/5 = 5/45
Now that both fractions have a common denominator of 45, you can add them:
18/45 + 5/45 = 23/45
Therefore, the sum of two-fifths and one-ninth is twenty-three forty-fifths (written as 23/45).
To add fractions, you need to find a common denominator. In this case, the common denominator of 5 and 9 is 45.
To convert two-fifths to a fraction with a denominator of 45, multiply the numerator (2) and denominator (5) by 9:
2/5 x 9/9 = 18/45
Similarly, to convert one-ninth to a fraction with a denominator of 45, multiply the numerator (1) and denominator (9) by 5:
1/9 x 5/5 = 5/45
Now that both fractions have a common denominator, you can add them together:
18/45 + 5/45 = 23/45
Therefore, the sum of two-fifths and one-ninth is 23/45.