(5 11/42) - (2 3/14) - (1 1/21) =
Convert all the mixed numbers to improper fractions:
(5 + 11/42) - (2 + 3/14) - (1 + 1/21) =(542 + 11) / 42 - (214 + 3) / 14 - (1*21 + 1) / 21 =(210 + 11) / 42 - (28 + 3) / 14 - (21 + 1) / 21 =221 / 42 - 31 / 14 - 22 / 21 =
Now find a common denominator, which is 42 since 42 is divisible by both 14 and 21:
(22114) / (4214) - (313) / (143) - (222) / (212) =3094 / 588 - 93 / 42 - 44 / 42 =3094 / 588 - (93 + 44) / 42 =3094 / 588 - 137 / 42 =
Now, find a common denominator of 588:
(3094 - 137*14) / 588 =3094 - 1918 / 588 =1176 / 588 =2
Therefore, (5 11/42) - (2 3/14) - (1 1/21) = 2.
(5 11/42) - (2 3/14) - (1 1/21) =
Convert all the mixed numbers to improper fractions:
(5 + 11/42) - (2 + 3/14) - (1 + 1/21) =
(542 + 11) / 42 - (214 + 3) / 14 - (1*21 + 1) / 21 =
(210 + 11) / 42 - (28 + 3) / 14 - (21 + 1) / 21 =
221 / 42 - 31 / 14 - 22 / 21 =
Now find a common denominator, which is 42 since 42 is divisible by both 14 and 21:
(22114) / (4214) - (313) / (143) - (222) / (212) =
3094 / 588 - 93 / 42 - 44 / 42 =
3094 / 588 - (93 + 44) / 42 =
3094 / 588 - 137 / 42 =
Now, find a common denominator of 588:
(3094 - 137*14) / 588 =
3094 - 1918 / 588 =
1176 / 588 =
2
Therefore, (5 11/42) - (2 3/14) - (1 1/21) = 2.