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 mixed number.
i. 13/4
ii. 78/5
(c) Simplify these fractions to their lowest terms.
i. 36/42
ii. 27/45

2. evaluate 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 =  3.625
a2 =  8.1667
b1 =  3.25
b2 =  15.6
c1 =  0.8571
c2 =  0.6
d1 =  0.4714
d2 =  0.4762
d3 =  0.1974
d4 =  2.4333
d5 =  8

Step-by-step explanation:

a1=358=3+58=3 8+58=298=358=3.625
a2=776=7+76=7 6+76=496=816=8.1667
b1=134=314=3.25
b2=785=1535=15.6
c1=3642=67=0.8571
c2=2745=35=0.6
d1=1235+47=3370=0.4714
d2=12/35 47=1021=0.4762
d3=(47+12)/537=1576=0.1974
d4=25 213+32=7330=21330=2.4333
d5=20(4 27/221)=8



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