You can
put this solution on YOUR website! Simplify: (3 1/2) ÷ (2 3/5) × (1 1/4) ÷ (7/13)
(show your work)
(3 1/2) ÷ (2 3/5) × (1 1/4) ÷ (7/13)
Change the mixed fractions to improper fractions:
(7/2) ÷ (13/5) × (5/4) ÷ (7/13)
Invert the fractions that are divided and change the
division to a multiplication
(7/2) × (5/13) × (5/4) × (13/7)
or
7 5 5 13
——— × ———— × ——— × ————
2 13 4 7
Cancel the 7 numerator in the first fraction
and the 7 denominator in the last fraction:
1
7 5 5 13
——— × ———— × ——— × ————
2 13 4 7
1
Cancel the 13 denominator in the second fraction
and the 13 numerator in the last fraction:
1 1
7 5 5 13
——— × ———— × ——— × ————
2 13 4 7
1 1
So you have
1 5 5 1
——— × ——— × ——— × ———
2 1 4 1
Multiply the numerators 1×5×5×1 = 25
Multiply the denominators 2×1×4×1 = 8
You get
25
————
8
Finally we can change that to a mixed number
3 1/8
Edwin
AnlytcPhil@aol.com
