What is 6 3/4 divided by 2 5/8?

Conversion a mixed number 6 3/4 to a improper fraction: 6 3/4 = 6 3/4 = 6 · 4 + 3/4 = 24 + 3/4 = 27/4.

To find new numerator:

Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4

Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

Write a previous answer (new numerator 27) over the denominator 4.

Six and three quarters is twenty-seven quarters

Conversion a mixed number 2 5/8

to a improper fraction: 2 5/8 = 2 5/8 = 2 · 8 + 5/8 = 16 + 5/8 = 21/8

To find new numerator:

Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8

Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21.

Write a previous answer (new numerator 21) over the denominator 8.

Two and five eighths is twenty-one eighths

Divide: 27/4 : 21/8 = 27/4 · 8/21 = 27 · 8/4 · 21 = 216/84 = 12 · 18 /12 · 7 = 18/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/

8 is 8/21) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 12 gives 18/7.

In words - twenty-seven quarters divided by twenty-one eighths = eighteen sevenths.

The solution of the expression [tex]6 \dfrac{3}{4}[/tex]  divided by [tex]2 \dfrac{5}{8}[/tex] , which are in mixed fraction is [tex]\dfrac{18}{7}[/tex]

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

The combination of a whole number and a proper fraction is called as mixed fraction.

The following expression can be simplified as:

Here, both the fraction are converted into improper fraction as[tex]\dfrac{27}{4}[/tex] and,  [tex]\dfrac{21}{8}[/tex]

Now, the following expression is simplified as:

[tex]\dfrac{\dfrac{27}{4}}{\dfrac{21}{8}}[/tex],

Reciprocal  the expression, so that the division sign changes to multiplication.

[tex]\dfrac{27}{4} \times \dfrac{8}{21}[/tex]

Thus, the solution will be [tex]\dfrac{18}{7}[/tex].

Learn more about expressions here :

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