Flash Cards: Working with Fractions

A fraction represents a part of a whole, written as a/b where 'a' is the numerator and 'b' is the denominator.

Multiply the whole number by the numerator and keep the denominator the same. For example, 3 × (2/5) = (3×2)/5.

Multiply the speed by the time. Distance = Speed × Time.

Distance covered in 1 hour = 3 km.

In 5 hours, Aaron can walk 5 × 3 km = 15 km.

In 3 hours, it can walk 3 × 1/4 km = 3/4 km.

In 1/5 hour, the distance covered is 3/5 km.

Divide the fraction's numerator by the whole number, multiply by the whole number, maintaining the same denominator.

5 × 2/3 = 10/3 acres.

1 1/4 hours = 5/4 hours.

Cost = (5/4) × 8 = ₹10.

1/5 of an hour is a fraction indicating one-fifth of 60 minutes.

A common mistake is not multiplying the numerator and denominator correctly or forgetting to simplify the fraction.

Fractions can be added by finding a common denominator and adding the numerators.

1/4 is one part of four equal parts, while 3/4 represents three parts of the same whole.

6/8 simplifies to 3/4 by dividing both the numerator and the denominator by 2.

The reciprocal of a fraction a/b is b/a. For example, the reciprocal of 1/2 is 2/1.

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

To divide fractions, multiply by the reciprocal of the divisor. For example, a/b ÷ c/d = a/b × d/c.

Distance can be visualized as the sum of equal parts multiplied by the number of parts.