Solve the following problem and convert to lowest terms (mixed number).
6 ⅚ – 17/18 (six and five sixths minus seventeen eighteenths)
6 5 / 6 = 6 + 5 / 6 = 6 + 5 * 3 / ( 6 * 3) = 6 + 15 / 18
6 5 / 6 - 17 / 18 =
6 + 15 / 18 -17 / 18 =
6 - 2 / 18 =
6 - 2 / ( 9 * 2 ) =
6 - 1 / 9 =
5 + 9 / 9 - 1 / 9 =
5 + 8 / 9 = 5 8 / 9
Thanks so much
To solve the problem and convert to the lowest terms, we can follow these steps:
Step 1: Find a common denominator.
The common denominator of 6 and 18 is 18. The common denominator of 6 and 8 is 24. In this case, we will choose 24 as the common denominator because it is the least common multiple of 18 and 8.
Step 2: Convert the mixed number to an improper fraction.
To convert 6 ⅚ to an improper fraction, we can multiply the whole number (6) by the denominator (24) and add it to the numerator (5). This gives us 6 * 24 + 5 = 149 as the new numerator, with the denominator remaining the same (24). Therefore, 6 ⅚ can be written as the improper fraction 149/24.
Step 3: Subtract the fractions.
Now that both fractions have the same denominator, we can subtract them. Subtract the numerators (149 - 17) and keep the denominator (24) the same. This gives us 132/24.
Step 4: Convert the improper fraction to a mixed number.
To convert 132/24 to a mixed number, we divide the numerator (132) by the denominator (24). The quotient is the whole number part, and the remainder becomes the new numerator. In this case, 132 divided by 24 equals 5 with a remainder of 12. So the mixed number is 5 12/24.
Step 5: Simplify the mixed number to the lowest terms.
To simplify the mixed number to the lowest terms, we can reduce the fraction 12/24 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12 in this case. When we divide 12/24 by 12, we get 1/2.
Therefore, the final answer, in lowest terms as a mixed number, is 5 ½.