Sagot :
Answer:
exact form: [tex]-\frac{289}{180}[/tex]
mixed number form: [tex]-1\frac{109}{180}[/tex]
Step-by-step explanation:
To subtract dissimilar fractions, convert mixed numbers to improper fractions, then find the LCD and combine.
What is the difference in:
[tex] \frac{5}{12} - 2 \frac{1}{45} \\ [/tex]
Step 1: Change the mixed number to improper fraction
[tex]2 \frac{1}{45} > \frac{91}{45} [/tex]
Step 2: Subtract it then find the LCD of denominator
[tex] \frac{5}{12 } - \frac{91}{45} = \frac{}{180} - \frac{}{180} [/tex]
Step 3: Divide 180 to 12 and 45 then add each to numerator.
[tex] \frac{5}{12} - \frac{91}{45} = \frac{75}{180} - \frac{364}{180} [/tex]
[tex] \frac{( 75 \: - \:364) }{180} = \frac{289}{180} [/tex]
[tex] \frac{289}{180} = 1 \frac{109}{180} \\ [/tex]
#CarryOnLearning