10 4/21 - (4 10/21 + 3 19/21)
First, let's add the two mixed numbers inside the parentheses:
4 10/21 + 3 19/2= (4 + 3) + (10/21 + 19/21= 7 + 29/2= 7 8/2= 7 2/3
Now, we have:
10 4/21 - 7 2/3
Next, convert the mixed numbers to improper fractions:
10 4/21 = (10 x 21 + 4) / 21 = 214/27 2/3 = (7 x 3 + 2) / 3 = 23/3
Now, subtract the fractions:
214/21 - 23/= (214 x 3 - 23 x 21) / (21 x 3= (642 - 483) / 6= 159 / 6= 53 / 21
Finally, convert the improper fraction back to a mixed number:
53 / 21 = 2 11/21
Therefore, the solution is:
10 4/21 - (4 10/21 + 3 19/21) = 2 11/21
10 4/21 - (4 10/21 + 3 19/21)
First, let's add the two mixed numbers inside the parentheses:
4 10/21 + 3 19/2
= (4 + 3) + (10/21 + 19/21
= 7 + 29/2
= 7 8/2
= 7 2/3
Now, we have:
10 4/21 - 7 2/3
Next, convert the mixed numbers to improper fractions:
10 4/21 = (10 x 21 + 4) / 21 = 214/2
7 2/3 = (7 x 3 + 2) / 3 = 23/3
Now, subtract the fractions:
214/21 - 23/
= (214 x 3 - 23 x 21) / (21 x 3
= (642 - 483) / 6
= 159 / 6
= 53 / 21
Finally, convert the improper fraction back to a mixed number:
53 / 21 = 2 11/21
Therefore, the solution is:
10 4/21 - (4 10/21 + 3 19/21) = 2 11/21