213/48 multiplied by 7/4 in Fraction Form

The result of 213/48 multiplied by 7/4 is: 7 49/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 21348 and 74.

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 7 = 1491

Step 3: Multiply the Denominators

Multiply the denominators: 48 × 4 = 192

Step 4: Simplify the Fraction

We can simplify 1491192 to its lowest form.
The greatest common divisor (GCD) of 1491 and 192 is 3.
Dividing both numerator and denominator by the GCD, we get 49764.

Step 5: Convert to Mixed Number

The fraction 49764 can be written as the mixed number 74964.

Final Answer

The result of 213/48 multiplied by 7/4 is:

21348×74=74964

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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