Working with Fractions - Flash Cards
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What is a fraction?
A fraction represents a part of a whole, written as a/b where 'a' is the numerator and 'b' is the denominator.
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How do you multiply a fraction by a whole number?
Multiply the whole number by the numerator and keep the denominator the same. For example, 3 × (2/5) = (3×2)/5.
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What do you get when you multiply 2/3 by 5?
2/3 × 5 = (2×5)/3 = 10/3.
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What is the process to find the total distance walked?
Multiply the speed by the time. Distance = Speed × Time.
5/21
Calculate the distance covered in 1 hour if walking speed is 3 km.
Distance covered in 1 hour = 3 km.
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How far can Aaron walk in 5 hours?
In 5 hours, Aaron can walk 5 × 3 km = 15 km.
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How far can a tortoise walk in 3 hours if its speed is 1/4 km/h?
In 3 hours, it can walk 3 × 1/4 km = 3/4 km.
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What is 3/5 of a km in terms of walking time of 1/5 hour?
In 1/5 hour, the distance covered is 3/5 km.
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What does multiplying a fraction and a whole number involve?
Divide the fraction's numerator by the whole number, multiply by the whole number, maintaining the same denominator.
10/21
Find the total land distributed to 5 grandchildren with 2/3 acre each.
5 × 2/3 = 10/3 acres.
11/21
Convert 1 1/4 hours to an improper fraction.
1 1/4 hours = 5/4 hours.
12/21
How much does 5/4 hour of internet cost at ₹8 per hour?
Cost = (5/4) × 8 = ₹10.
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What fraction represents 1/5 of an hour?
1/5 of an hour is a fraction indicating one-fifth of 60 minutes.
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What is a common mistake when multiplying fractions?
A common mistake is not multiplying the numerator and denominator correctly or forgetting to simplify the fraction.
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How can fractions be added together?
Fractions can be added by finding a common denominator and adding the numerators.
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Explain the difference between 1/4 and 3/4.
1/4 is one part of four equal parts, while 3/4 represents three parts of the same whole.
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What is the simplified form of 6/8?
6/8 simplifies to 3/4 by dividing both the numerator and the denominator by 2.
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What is the reciprocal of a fraction?
The reciprocal of a fraction a/b is b/a. For example, the reciprocal of 1/2 is 2/1.
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How to convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.
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What is the rule for dividing fractions?
To divide fractions, multiply by the reciprocal of the divisor. For example, a/b ÷ c/d = a/b × d/c.
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How is distance covered in parts calculated?
Distance can be visualized as the sum of equal parts multiplied by the number of parts.
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