To simplify the fraction 10/42, you'll want to find the greatest common divisor (GCD) of the numerator (10) and the denominator (42), and then divide both by that GCD.
The factors of 10 are , 1 , 2 , 5 , 10 .
The factors of 42 are , 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 .
The largest number that appears in both lists is 2, so the GCD of 12 and 36 is 2.
10 ÷ 2 = 5
42 ÷ 2 = 21
So, the simplified form of 10/42 is 5/21.
The fraction 10/42 is equivalent to 5/21 when simplified.
ten over 42
five over 21
Let's learn how to simplify 47/120 fraction.
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Welcome to our Fraction Simplifier tool. Here, you can easily convert fractions to their simplified forms for better understanding and calculations.
Our tool uses advanced algorithms to find the greatest common divisor (GCD) of the numerator and denominator. It then divides both numbers by the GCD to obtain the simplified form.
| Original Fraction | Simplified Fraction |
|---|---|
| 4/12 | 1/3 |
| 3/9 | 1/3 |
| 5/15 | 1/3 |
| 8/24 | 1/3 |
| 7/14 | 1/2 |
| 6/18 | 1/3 |
In the realm of mathematics, the terms "numerator" and "denominator" hold significant importance in the representation of fractions. The numerator is the upper component of a fraction, signifying the number of equal parts being considered or counted. It represents a specific quantity or portion of a whole. For example, in the fraction 3/5, the numerator is 3, indicating that there are three parts of the whole under consideration.
On the other hand, the denominator is the lower component of a fraction. It is the total number of equal parts into which the whole is divided. It provides the context for understanding the size or magnitude of each of the parts. In the fraction 3/5, the denominator is 5, indicating that the whole is divided into five equal parts.
The relationship between the numerator and denominator is crucial in defining the value and magnitude of a fraction. Together, they establish a precise and detailed representation of quantities that are not whole numbers. This foundational concept underpins numerous mathematical operations, from basic arithmetic to advanced calculus. Additionally, a solid understanding of numerators and denominators is fundamental for comprehending ratios, proportions, and various other mathematical concepts across different fields of study. Mastery of these terms is pivotal for any individual seeking proficiency in mathematics.