How do I work out the problem 39 1/5+ 97+ 58 2/7
You need equivalent fractions.
39 1/5 = 39 7/35
58 2/7 = 58 10/35
39 7/35 + 97 + 58 10/35 = 194 17/35
97 17/35
To work out this problem, you need to add the given numbers:
Step 1: Convert mixed numbers to improper fractions.
39 1/5 can be written as 39 + 1/5. The improper fraction for 39 1/5 is (39 * 5 + 1) / 5, which equals 196/5.
58 2/7 can be written as 58 + 2/7. The improper fraction for 58 2/7 is (58 * 7 + 2) / 7, which equals 408/7.
Step 2: Add the fractions.
To add fractions, the denominators must be the same. In this case, the denominators are both 5 and 7, so you need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35.
Multiply the numerator and denominator of 196/5 by 7 to get a common denominator: (196 * 7) / (5 * 7) = 1372/35.
Multiply the numerator and denominator of 408/7 by 5 to get a common denominator: (408 * 5) / (7 * 5) = 2040/35.
Step 3: Add the fractions.
Now that the fractions have the same denominator, add the numerators: 1372/35 + 2040/35 = (1372 + 2040) / 35 = 3412/35.
Step 4: Simplify, if necessary.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 3412 and 35 is 1.
Therefore, the final answer is 3412/35.