64/154 multiplied by 101/2 in Fraction Form

The result of 64/154 multiplied by 101/2 is: 20 76/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 64154 and 1012.

Step 2: Multiply the Numerators

Multiply the numerators: 64 × 101 = 6464

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 2 = 308

Step 4: Simplify the Fraction

We can simplify 6464308 to its lowest form.
The greatest common divisor (GCD) of 6464 and 308 is 4.
Dividing both numerator and denominator by the GCD, we get 161677.

Step 5: Convert to Mixed Number

The fraction 161677 can be written as the mixed number 207677.

Final Answer

The result of 64/154 multiplied by 101/2 is:

64154×1012=207677

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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