10/48 multiplied by 99/4 in Fraction Form

The result of 10/48 multiplied by 99/4 is: 5 5/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1048 and 994.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 99 = 990

Step 3: Multiply the Denominators

Multiply the denominators: 48 × 4 = 192

Step 4: Simplify the Fraction

We can simplify 990192 to its lowest form.
The greatest common divisor (GCD) of 990 and 192 is 6.
Dividing both numerator and denominator by the GCD, we get 16532.

Step 5: Convert to Mixed Number

The fraction 16532 can be written as the mixed number 5532.

Final Answer

The result of 10/48 multiplied by 99/4 is:

1048×994=5532

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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