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How to Simplify the Fraction 37/24?
The fraction 37/2437/2437/24 is already in its simplest form. Simplification of a fraction involves dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). However, in this case, the GCD of 37 and 24 is 1, indicating that the fraction cannot be reduced any further.
Conversion to a Mixed Number: Since 37 is greater than 24, this fraction can also be expressed as a mixed number:37÷24=1 remainder 1337 \div 24 = 1 \text{ remainder } 1337÷24=1 remainder 13
Thus, 37/2437/2437/24 can be written as 113241 \frac{13}{24}12413.
Why Fractions in Simplest Form Matter Simplifying fractions is essential for clearer math expressions, making it easier to perform arithmetic operations. For 37/2437/2437/24, no further simplification is possible, ensuring it remains as is for any calculations.
FAQ
- Is 37/24 in its simplest form?
Yes, the fraction 37/24 is already in its simplest form, as its GCD is 1. - Can 37/24 be expressed as a decimal?
Yes, it can be approximately 1.5417 when written in decimal form. - What is 37/24 as a mixed number?
The fraction 37/24 is equivalent to the mixed number 113241 \frac{13}{24}12413. - What does it mean if a fraction is already in its simplest form?
It means the numerator and the denominator have no common factors other than 1. - How can I verify if a fraction is simplified?
Check if the GCD of the numerator and denominator is 1. If it is, the fraction is simplified
