which of the following is greater than 1/2?
A. 4/10
B. 2/5
C. 6/7
D. 8/15
E. 9/19
In which fraction is the numerator greater than half of the denominator
Example:
4/10
half of 10 = 5
for which fractions is the bottom less than 2x the top?
To determine which fraction is greater than 1/2, we need to compare the numerators and denominators of each fraction.
1. Fraction 4/10: To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, 4/10 becomes 2/5. Since 2/5 is less than 1/2, this fraction is not greater than 1/2.
2. Fraction 2/5: We can see that this fraction is less than 1/2 since the numerator (2) is less than the denominator (5). Therefore, this fraction is not greater than 1/2.
3. Fraction 6/7: To compare this fraction to 1/2, we can use cross-multiplication. Multiply the numerator of the first fraction (6) by the denominator of the second fraction (2), and multiply the denominator of the first fraction (7) by the numerator of the second fraction (1). 6 * 2 = 12 and 7 * 1 = 7. Since 12 is greater than 7, this fraction is greater than 1/2.
4. Fraction 8/15: We can also use cross-multiplication to compare this fraction. 8 * 2 = 16 and 15 * 1 = 15. Since 16 is greater than 15, this fraction is greater than 1/2.
5. Fraction 9/19: Cross-multiplying again, 9 * 2 = 18 and 19 * 1 = 19. Since 18 is less than 19, this fraction is not greater than 1/2.
Therefore, the fractions greater than 1/2 are:
C. 6/7
D. 8/15