Simplifying Fractions: 1/4 x 4/7 as a Fraction
When working with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore the process of simplifying the fraction 1/4 x 4/7.
What is 1/4 x 4/7 as a Fraction?
To find the result of multiplying these two fractions, we need to follow the rules of multiplying fractions.
The formula for multiplying fractions is:
(a/b) × (c/d) = (ac)/(bd)
In our case, we have:
(1/4) × (4/7) = ?
Step-by-Step Solution
Let's plug in the values:
(a = 1, b = 4, c = 4, d = 7)
(1 × 4) / (4 × 7) = ?
Simplifying the Fraction
Multiply the numerators (numbers on top):
1 × 4 = 4
Multiply the denominators (numbers at the bottom):
4 × 7 = 28
Now, we have:
4/28
Simplifying Further
We can simplify the fraction 4/28 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
4 ÷ 4 = 1 28 ÷ 4 = 7
So, the simplified fraction is:
1/7
Conclusion
In conclusion, 1/4 x 4/7 as a fraction is equal to 1/7. Remember to follow the rules of multiplying fractions and simplify your answers to get the most accurate results.
