Final answer:
To solve the question, the mixed numbers of flour must be converted to improper fractions, find a common denominator, subtract, and then convert back to a mixed number. The remaining flour, after the subtraction is performed, is (9/10) kilograms, which is not listed in the provided options.
Step-by-step explanation:
The question at hand is a subtraction problem in Mathematics involving mixed numbers, where we need to determine the amount of kilograms of flour left after a baker uses a portion of it. The baker starts with 30(5/8) kilograms of flour and uses 23(3/5) kilograms.
To find the remaining flour, we perform the subtraction:
30(5/8) - 23(3/5). Since these are mixed numbers with different denominators, we need to first convert them to improper fractions and find a common denominator before subtracting. After performing the subtraction, we will convert the result back into a mixed number to find out how many kilograms are left.
- Convert mixed numbers to improper fractions: 30(5/8) becomes (245/8) and 23(3/5) becomes (118/5).
- Find a common denominator, which is 40 in this case, and convert the fractions: (245/8) becomes (980/40) and (118/5) becomes (944/40).
- Subtract the fractions: (980/40) - (944/40) = (36/40) or (9/10) after simplification.
- Convert the improper fraction back to a mixed number: (9/10) is already in simplest form, so the mixed number is 0 remainder (9/10), or just (9/10) kilograms.
Therefore, after using 23(3/5) kilograms of flour, the baker has (9/10) kilograms of flour left, which is not among the provided options and indicates a possible misinterpretation or typo in the question or choices.
Learn more about Subtracting Mixed Numbers