15/10 divided by 26/2 in Fraction Form

The result of 15/10 divided by 26/2 is: 3/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 1510 by 262.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
1510÷262=1510×226

Step 3: Multiply the Fractions

Multiply the numerators: 15 × 2 = 30
Multiply the denominators: 10 × 26 = 260

Step 4: Simplify the Fraction

We can simplify 30260 to its lowest form.
The greatest common divisor (GCD) of 30 and 260 is 10.
Dividing both numerator and denominator by the GCD, we get 326.

Final Answer

The result of 15/10 divided by 26/2 is:

1510÷262=326

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

ab÷cd=ab×dc=adbc

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

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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