Equivalent Rational Number to 2/10 with 50 as Numerator

To find a rational number equivalent to 2/10 with 50 as the numerator, we need to multiply both the numerator and the denominator of 2/10 by the same non-zero number.

Step 1: Simplify 2/10
Before proceeding, let's simplify the given fraction 2/10. The numerator and denominator share a common factor of 2. By dividing both the numerator and the denominator by 2, we can simplify the fraction to its lowest terms.

2/10 ÷ 2/2 = 1/5

Therefore, the simplified form of 2/10 is 1/5.

Step 2: Finding the Equivalent Rational Number
Now, let's find a rational number equivalent to 1/5 with 50 as the numerator. To do this, we need to multiply both the numerator and the denominator of 1/5 by the same non-zero number.

Let's multiply the numerator and denominator of 1/5 by 50.

(1/5) * (50/50) = 50/250

Therefore, the rational number equivalent to 2/10 with 50 as the numerator is 50/250.

Step 3: Simplifying the Equivalent Rational Number
To simplify the equivalent rational number, we need to check if the numerator and denominator share any common factors. If there are any common factors, we can divide both the numerator and the denominator by that factor to simplify the fraction further.

50/250 ÷ 50/50 = 1/5

After simplifying the fraction, we find that the equivalent rational number 50/250 is the same as 1/5.

Summary
To find a rational number equivalent to 2/10 with 50 as the numerator, we simplified the fraction 2/10 to 1/5. Then, we multiplied the numerator and denominator of 1/5 by 50 to find the rational number equivalent. The resulting fraction was 50/250, which we further simplified to 1/5. Therefore, the rational number equivalent to 2/10 with 50 as the numerator is 1/5.