Simplifying Fractions: 15/14 × 4/3 as a Fraction in Simplest Form
In mathematics, fractions are an essential part of our daily lives. We often come across fractions in various mathematical operations, and simplifying them is crucial to get accurate results. In this article, we will simplify the fraction 15/14 × 4/3 and express it in its simplest form.
The Given Fraction
The given fraction is:
15/14 × 4/3
To simplify this fraction, we need to follow the rules of fraction multiplication and division.
Multiplying Fractions
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), and then write the product as a fraction.
(15 × 4) / (14 × 3)
= 60 / 42
Simplifying the Fraction
Now, we need to simplify the fraction 60/42. To do this, we need to find the greatest common divisor (GCD) of 60 and 42.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The GCD of 60 and 42 is 6. Therefore, we can divide both the numerator and the denominator by 6.
60 ÷ 6 = 10 42 ÷ 6 = 7
So, the simplified fraction is:
10/7
Conclusion
In conclusion, the fraction 15/14 × 4/3 in its simplest form is 10/7. Simplifying fractions is an essential skill in mathematics, and it's crucial to understand the rules of fraction multiplication and division to get accurate results.
