Which number sentence is true?
a. 5/14=5/9
b. 5/14>5/9
c. 5/9>5/14
d. 5/9=5/14
5/14 = 0.357
5/9 = 0.5555
To determine which number sentence is true among the given options, we will compare the values of the fractions involved. In this case, the fractions are 5/14 and 5/9.
To compare fractions, it is helpful to find a common denominator. The least common multiple (LCM) of 14 and 9 is 126. So, we will rewrite both fractions with a denominator of 126.
The first fraction, 5/14, can be rewritten as 45/126 (multiplying the numerator and denominator by 9). The second fraction, 5/9, can be rewritten as 70/126 (multiplying the numerator and denominator by 14).
Now, let's compare the values:
- 45/126 (fraction a) is less than 70/126 (fraction c). Therefore, option c (5/9 > 5/14) is true.
So, the correct answer is c. 5/9 > 5/14.