IGCSE /Grade 6
Maths MCQ Based On Comparing decimals and fractions
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IGCSE Grade 6 Maths Comparing decimals and fractions
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To compare the decimal 0.003455 and the fraction 678/122222, we can compare them directly.
Given that the decimal has a value less than 1, we can represent it as 0.003455.
Now we have the decimal 0.003455 and the fraction 678/122222.
To compare these numbers, we can convert the decimal to a fraction. The decimal 0.003455 can be written as 3455/1,000,000.
Now we can compare the two fractions: 3455/1,000,000 and 678/122222.
To simplify the comparison, we can find a common denominator for these fractions, which is 1,000,000. Both fractions already have the same denominator.
Comparing these fractions, we can see that 3455/1,000,000 is less than 678/122222. Therefore, we can conclude that 0.003455 is less than 678/122222, and the appropriate sign to use is <.
Fraction to decimal.
99999/45678 = 2.189215, 2 in the one's column
1.75321, 1 in the one's column
As we know that 2>1 therefore, 99999/45678 is greater than 1.75321.
To compare the decimal 9.88349 and the fraction 89745/12345, we can compare them directly.
Given that the decimal has a whole number part of 9, we can represent it as 9 + 0.88349.
Now we have the decimal 9.88349 and the fraction 89745/12345.
To compare these numbers, we can convert the decimal to a fraction by multiplying the whole number part by the denominator of the fraction and adding it to the numerator. Therefore, 9.88349 can be represented as (9 * 12345 + 88349)/12345 = 222604/12345.
Now we can compare the two fractions: 222604/12345 and 89745/12345.
To simplify the comparison, we can find a common denominator for these fractions, which is 12345. Both fractions already have the same denominator.
Comparing these fractions, we can see that 222604/12345 is greater than 89745/12345. Therefore, we can conclude that 9.88349 is greater than 89745/12345, and the appropriate sign to use is >.
9000687/ 312245 = 28.82572
Both the numbers are same.
<,> is read as less than, greater than respectively.
Convert and compare whole numbers first and then tenths and so on.
To compare the decimal 0.987654321 and the fraction 123456789/125000000, we need to carefully analyze their values.
First, let's examine the decimal. The decimal 0.987654321 can be represented as a fraction by placing the digits over a power of 10. In this case, it becomes 987654321/1,000,000,000.
Now we can compare the fraction 987654321/1,000,000,000 and the fraction 123456789/125000000.
To simplify the comparison, we can find a common denominator for these fractions, which is 1,000,000,000. Both fractions already have the same denominator.
Comparing these fractions directly is quite challenging due to the large numerator values. However, we can try to analyze the patterns and characteristics of the fractions.
Notice that the decimal 0.987654321 follows a decreasing pattern from left to right. This suggests that it is a relatively large value close to 1.
On the other hand, the fraction 123456789/125000000 has a numerator that is much smaller than the denominator. This indicates that the fraction is less than 1.
Based on these observations, we can infer that the decimal 0.987654321 is greater than the fraction 123456789/125000000.
Therefore, we can conclude that 0.987654321 > 123456789/125000000.
123456789/125000000 = 0.987654312
Convert fractions and compare.
Now we have the fraction 8/9 and the fraction 11987/6783. To compare these fractions, we need to find a common denominator. The least common multiple of 9 and 6783 is 61,047. By multiplying the numerator and denominator of 8/9 by 6783, we get 60,504/61,047.
Now we can compare the two fractions: 60,504/61,047 and 11987/6783.
To simplify the comparison, we can reduce both fractions to their simplest form. After simplification, we find that 60,504/61,047 cannot be further reduced, while 11987/6783 can be reduced to 3995/2261.
Comparing these fractions, we can see that 60,504/61,047 is greater than 3995/2261. Therefore, we can conclude that 0.888888... (repeating) is greater than 11987/6783, and the appropriate sign to use is >.
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