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what is the difference in 5/12 - 2 1/45​

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]

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