1) 3/14 - 1 8/21 + 5/7Convert 1 to a fraction with common denominator:3/14 - 21/21 + 8/21 + 5/7= 3/14 - 29/21 + 5/7Find a common denominator:= 9/42 - 58/42 + 30/42Combine the fractions:= (9 - 58 + 30)/42= -19/42
2) 14/55 33/50 ÷ 1 24/25Convert 1 to a fraction with common denominator:14/55 33/50 / 49/25= 14/55 33/50 25/24Multiply the fractions:= (14 33 25) / (55 50 24)= 11550 / 66000= 385 / 2200= 77 / 440
3) -2 5/12 + 11/18 - 1/6Convert -2 to a fraction with common denominator:-29/12 + 11/18 - 3/18Find a common denominator:= -116/48 + 44/48 - 8/48Combine the fractions:= (-116 + 44 - 8)/48= -80/48= -5/3
4) 11/40 ÷ 1 7/26 35/39Convert 1 to a fraction with common denominator:11/40 / 33/26 35/39= 11/40 / 858/78 35/39= 11/40 / 30/78= 11/40 78/30= (11 78) / (40 30)= 858 / 1200= 143 / 200
5) 2/15 - 1 1/5 + 4/3Convert 1 to a fraction with common denominator:2/15 - 6/5 + 4/3Find a common denominator:= 2/15 - 18/15 + 20/15Combine the fractions:= (2 - 18 + 20)/15= 4/15
1) 3/14 - 1 8/21 + 5/7
Convert 1 to a fraction with common denominator:
3/14 - 21/21 + 8/21 + 5/7
= 3/14 - 29/21 + 5/7
Find a common denominator:
= 9/42 - 58/42 + 30/42
Combine the fractions:
= (9 - 58 + 30)/42
= -19/42
2) 14/55 33/50 ÷ 1 24/25
Convert 1 to a fraction with common denominator:
14/55 33/50 / 49/25
= 14/55 33/50 25/24
Multiply the fractions:
= (14 33 25) / (55 50 24)
= 11550 / 66000
= 385 / 2200
= 77 / 440
3) -2 5/12 + 11/18 - 1/6
Convert -2 to a fraction with common denominator:
-29/12 + 11/18 - 3/18
Find a common denominator:
= -116/48 + 44/48 - 8/48
Combine the fractions:
= (-116 + 44 - 8)/48
= -80/48
= -5/3
4) 11/40 ÷ 1 7/26 35/39
Convert 1 to a fraction with common denominator:
11/40 / 33/26 35/39
= 11/40 / 858/78 35/39
= 11/40 / 30/78
= 11/40 78/30
= (11 78) / (40 30)
= 858 / 1200
= 143 / 200
5) 2/15 - 1 1/5 + 4/3
Convert 1 to a fraction with common denominator:
2/15 - 6/5 + 4/3
Find a common denominator:
= 2/15 - 18/15 + 20/15
Combine the fractions:
= (2 - 18 + 20)/15
= 4/15