Answer :
Sure! Let's reduce the mixed number [tex]\( 6 \frac{18}{20} \)[/tex] to its lowest terms step by step.
1. Separate the Whole Number and the Fraction:
- The whole number part is [tex]\( 6 \)[/tex].
- The fractional part is [tex]\( \frac{18}{20} \)[/tex].
2. Simplify the Fraction:
- To simplify [tex]\( \frac{18}{20} \)[/tex], we need to find the greatest common divisor (GCD) of 18 and 20.
- The GCD of 18 and 20 is 2 (since 2 is the largest number that divides both 18 and 20 without leaving a remainder).
3. Divide the Numerator and Denominator by the GCD:
- Divide the numerator (18) by the GCD (2): [tex]\( \frac{18}{2} = 9 \)[/tex].
- Divide the denominator (20) by the GCD (2): [tex]\( \frac{20}{2} = 10 \)[/tex].
4. Write the Reduced Fraction:
- The fraction [tex]\( \frac{18}{20} \)[/tex] simplifies to [tex]\( \frac{9}{10} \)[/tex].
5. Combine the Whole Number with the Simplified Fraction:
- The whole number remains [tex]\( 6 \)[/tex].
- The simplified mixed number is [tex]\( 6 \frac{9}{10} \)[/tex].
Therefore, the mixed number [tex]\( 6 \frac{18}{20} \)[/tex] reduced to its lowest terms is:
[tex]\[ 6 \frac{9}{10} \][/tex]
1. Separate the Whole Number and the Fraction:
- The whole number part is [tex]\( 6 \)[/tex].
- The fractional part is [tex]\( \frac{18}{20} \)[/tex].
2. Simplify the Fraction:
- To simplify [tex]\( \frac{18}{20} \)[/tex], we need to find the greatest common divisor (GCD) of 18 and 20.
- The GCD of 18 and 20 is 2 (since 2 is the largest number that divides both 18 and 20 without leaving a remainder).
3. Divide the Numerator and Denominator by the GCD:
- Divide the numerator (18) by the GCD (2): [tex]\( \frac{18}{2} = 9 \)[/tex].
- Divide the denominator (20) by the GCD (2): [tex]\( \frac{20}{2} = 10 \)[/tex].
4. Write the Reduced Fraction:
- The fraction [tex]\( \frac{18}{20} \)[/tex] simplifies to [tex]\( \frac{9}{10} \)[/tex].
5. Combine the Whole Number with the Simplified Fraction:
- The whole number remains [tex]\( 6 \)[/tex].
- The simplified mixed number is [tex]\( 6 \frac{9}{10} \)[/tex].
Therefore, the mixed number [tex]\( 6 \frac{18}{20} \)[/tex] reduced to its lowest terms is:
[tex]\[ 6 \frac{9}{10} \][/tex]
