30.4k views
10 votes
10 1/9 - 9 3/4=***


***please simplify :)


thanks

2 Answers

11 votes

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

User Spundun
by
4.8k points
4 votes

Answer:


\large \boxed{ \ \sf (13)/(36) \ }

Step-by-step explanation:


\rightarrow \sf 10 (1)/(9) - 9(3)/(4)

[Convert to improper Fractions]


\rightarrow \sf (91)/(9) - (39)/(4)

[Make the denominator same]


\rightarrow \sf (4(91))/(36) - (9(39))/(36)

[Multiply Integers]


\rightarrow \sf (364)/(36) - (351)/(36)

[Join both fractions]


\rightarrow \sf (364-351)/(36)

[Subtract Integers]


\rightarrow \sf (13)/(36)

User Mbatchkarov
by
4.3k points