Answer:
[tex]-4\frac{14}{15}[/tex]
Step-by-step explanation:
[tex]12\frac{2}{5} -17\frac{1}{3}[/tex]
Step 1. See if both mixed fractions have the same common denominator
Answer: No.
Explanation: The first fraction [tex](12\frac{2}{5})[/tex] has a denominator of 5 and the second fraction [tex](17\frac{1}{3})[/tex] has a denominator of 3.
Step 2. so now that we know they have different common denominator, find the LCM (Least Common Denominator) for both mixed fractions.
To do this, find their LCM' (Least Common Multiple).
Answer: 30.
Explanation:
Multiples of 5:
5: 5, 10, 15, 20, 25, 30, 35, 40, 45,...
Multiples of 3:
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...
Their LCM' (Least Common Multiple) is 30.
Step 3. Convert each of the mixed fractions into a common denominator of 30.
Answer: [tex]12\frac{2}{5} =12\frac{12}{30}[/tex] [tex]17\frac{1}{3} =17\frac{10}{30}[/tex]
Explanation:
[tex]12\frac{2}{5} =12\frac{?}{30}[/tex] [tex]17\frac{1}{3} =17\frac{?}{30}[/tex]
To find their numerator, think about how 5 being multiplied by a number equivalent to 30 and 3 being multiplied by a number equivalent to 30 (as well).
Step 4. Use the two mixed fractions [tex](12\frac{12}{30} -17\frac{10}{30} )[/tex] to subtract
Answer:
Explanation:
[tex]12\frac{12}{30} -17\frac{10}{30} =[/tex]
Multiply denominator by whole number and add the numerator (Keep the denominators the same)
[tex]\frac{372}{30} -\frac{520}{30} =[/tex]
Subtract
[tex]-\frac{148}{30}=[/tex]
Simplify
[tex]-4\frac{14}{15}[/tex]
Final Answer
