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find the difference of 11/12and1/3​

Sagot :

Answer:

FIND THE DIFFERENCE

QUESTION:

Find the difference of 11/12 and 1/3

EXPLANATION:

  • Find the Least Common Denominator (LCD) of 11/12 and 1/3.

  • Find the Least Common Multiple (LCM) of 12 and 3

LCD = 12

  • Make the denominators the same as the LCD.

[tex] = \frac{11}{12} - \frac{1 \times 4}{3 \times 4} [/tex]

  • Simplify the Denominators are now the same.

[tex] = \frac{11}{12} - \frac{4}{12} [/tex]

  • Join the denominators

[tex] = \frac{11 - 4}{12} [/tex]

  • Simplify

[tex] = \frac{7}{12} [/tex]

ANSWER:

= [tex]\boxed{\frac\blue{7}\blue{12}}[/tex]

#CarryOnLearning

[tex]\sf\large\bold{Answer:}[/tex]

[tex]\frac{7}{12} [/tex]

[tex]\sf\large\bold{Explanation:}[/tex]

First, find the Least Common Denominator of both 12 and 3 (denominators) by listing all of its multiples.

Multiples of 12: 12, 24

Multiples of 3: 3, 6, 9, 12

- The underlined digit is the LCD of both 12 and 3.

Now, make two pairs of fractions that has the same numerators and denominators. In that way, the fractions will be the same.

Pairs of Fractions: 1/1, 4/4

Multiply the two pairs to the fractions 11/12 and 1/3.

[tex]\frac{11}{12} \times \frac{1}{1} = \frac{11}{12} [/tex]

[tex]\frac{1}{3} \times \frac{4}{4} = \frac{4}{12} [/tex]

The fractions that we got are 11/12 and 4/12. We can now subtract these fractions mentally since it has the same denominators. Subtract the numerators only, copy the denominators after you subtract the fractions.

[tex]\frac{11}{12} - \frac{4}{12} = \frac{7}{12} [/tex]

I hope this answer helps you.

#CarryOnLearning