Question

10 1/9 - 9 3/4=***


***please simplify :)


thanks

Answer 1

Answer:

$\large \boxed{ \ \sf \dfrac{13}{36} \ }$

Explanation:

$\rightarrow \sf 10 \dfrac{1}{9} - 9\dfrac{3}{4}$

[Convert to improper Fractions]

$\rightarrow \sf \dfrac{91}{9} - \dfrac{39}{4}$

[Make the denominator same]

$\rightarrow \sf \dfrac{4(91)}{36} - \dfrac{9(39)}{36}$

[Multiply Integers]

$\rightarrow \sf \dfrac{364}{36} - \dfrac{351}{36}$

[Join both fractions]

$\rightarrow \sf \dfrac{364-351}{36}$

[Subtract Integers]

$\rightarrow \sf \dfrac{13}{36}$

Answer 2

Answer:

13/36.

Step-by-step explanation:

First convert to improper fractions:

10 1/9 = (10*9 + 1)/9 = 91/9.

9 3/4 = (9*4 + 3)/4 = 39/4.

Next find the Lowest Common Denominator of 9 and 4.

This is 9*4 = 36.

Now convert both fractions to 36th:

For 91/9 we multiply by 4/4 and for 39/9 we multiply by 9/9

91*4 / 9*4 =  364/36 and 39*9 / 9*4 =  351/36, so we have:

364/36 - 351/36

=  13/36