Question 9 options:
Compare these fractions. Use <, >, or =.
fraction numerator 2 over denominator 3 end fractionBlank Space __________ fraction numerator 5 over denominator 6 end fraction
The fraction 2/3 is less than the fraction 5/6. So, the answer is <.
To compare the fractions, we need to find the equivalent fractions with the same denominator.
For the first fraction 2/3, we can multiply both the numerator and denominator by 2 to get an equivalent fraction:
2/3 * 2/2 = 4/6
Now we can compare the fractions:
4/6 __________ 5/6
Since 5/6 is greater than 4/6, we can conclude that:
2/3 < 5/6
To compare these fractions, we can use cross multiplication. Cross multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and comparing it to the product of the numerator of the second fraction and the denominator of the first fraction.
Let's compare the fractions:
Fraction 1: 2/3
Fraction 2: 5/6
Cross multiplying, we get:
(2 * 6) = 12
(5 * 3) = 15
Since 12 is less than 15, we can conclude that 2/3 is less than 5/6.
Therefore, we can use the "<" symbol to compare the fractions:
2/3 < 5/6