Fractions and mixed numerals

(a) Convert the following mixed numbers to improper fractions. i. 3 5/8 ii. 7 7/6
(b) Convert the following improper fraction to a mixed number. i. 13/4 ii. 78/5
(c) Simplify these fractions to their lowest terms. i. 36/42 ii. 27/45

(d) evaluate the following expressions with fractions and mixed numerals:
i. 1/2 - 3/5 + 4/7=
ii. 1/2 ÷ 3/5 × 4/7=
iii. (4/7 + 1/2) ÷ 5 3/7=
iv. 2/5 × 2 1/3 + 3/2=
v. 20 - (4 × 2/7 ÷ 2/21)

Correct answer:

a1 =  3 58 = 29/8
a2 =  8 16 = 49/6
b1 =  3 14 = 13/4
b2 =  15 35 = 78/5
c1 =  6/7
c2 =  3/5
d1 =  33/70
d2 =  10/21
d3 =  15/76
d4 =  2 1330 = 73/30
d5 =  8

Step-by-step explanation:

a1=385=3+85=83 8+5=824+5=829=385=3.625
a2=767=7+67=67 6+7=642+7=649=861=8.1667
b1=413=341=3.25
b2=578=1553=15.6
c1=4236=76=0.8571
c2=4527=53=0.6
d1=2153+74=70357042+7040=703542+40=7033=0.4714
d2=21/53 74=2110=0.4762
d3=(74+21)/573=7615=0.1974
d4=52 231+23=3073=23013=2.4333
d5=20(4 72/212)=8



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