I need help with this math problem. From the reciprocal of 1/9 take 3 2/5.
Reciprocal of 1/9 = 9/1 = 8 5/5
8 5/5 - 3 2/5 = 5 3/5
Or you can take 9/1-12/5
To solve this math problem, we first need to understand what the reciprocal of a number means. The reciprocal of a number is obtained by flipping the numerator and denominator of a fraction.
Let's start with finding the reciprocal of 1/9. To do this, we switch the numerator and denominator of the fraction: 1/9 becomes 9/1, which is simply 9.
Now that we have the reciprocal of 1/9 as 9, we need to subtract 3 2/5 from it. To subtract mixed numbers like 3 2/5, we need to convert the mixed number into an improper fraction.
To convert 3 2/5 into an improper fraction, we multiply the whole number (3) by the denominator (5), which gives us 15. Then we add the numerator (2) to it, resulting in 17. Finally, we keep the denominator (5) the same. So, 3 2/5 becomes 17/5.
Now that we have the improper fraction 17/5, we can subtract it from the reciprocal of 1/9. Subtracting fractions requires a common denominator, so we need to find the least common multiple (LCM) of the denominators 5 and 1.
Since 5 and 1 are prime numbers, their LCM is simply their product, which is 5.
To rewrite 9 as a fraction with a denominator of 5, we multiply both the numerator and denominator by 5, resulting in 45/5.
Now we can subtract 17/5 from 45/5. Since both fractions have the same denominator, we only need to subtract the numerators. 45/5 - 17/5 equals (45-17)/5, which simplifies to 28/5.
Therefore, the solution to the math problem is 28/5.