One yard of ribbon costs 3 1/2 dollars. how much should one pay for 5/8 yards?
Answers
Answer:
The one should pay 2\frac{3}{16}2
16
3
dollars
Step-by-step explanation:
Let us revise how to multiply a mixed number by a proper fraction
Change the mixed number to improper fraction by multiplying the whole number by the denominator and ad the the product to the numerator and put the sum over the denominator ( a\frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
)
Multiply the two numerators and multiply the two denominators
∵ One yard of a ribbon costs 3\frac{1}{2}3
2
1
dollars
∵ We need to find the cost of \frac{5}{8}
8
5
yards
- Multiply the cost of 1 yard by \frac{5}{8}
8
5
∵ 3\frac{1}{2}3
2
1
= \frac{3(2)+1}{2}
2
3(2)+1
= \frac{6+1}{2}
2
6+1
∴ 3\frac{1}{2}3
2
1
= \frac{7}{2}
2
7
∵ The cost = \frac{7}{2}
2
7
× \frac{5}{8}
8
5
∴ The cost = \frac{7(5)}{2(8)}
2(8)
7(5)
∴ The cost = \frac{35}{16}
16
35
Change the improper fraction to a mixed number
∵ 35 ÷ 16 = 2 and remainder 3 ⇒ (16 × 2 = 32)
∴ \frac{35}{16}
16
35
= 2\frac{3}{16}2
16
3
∴ The cost = 2\frac{3}{16}2
16
3
dollars
The one should pay 2\frac{3}{16}2
16
3
dollars
Step-by-step explanation:
Hope it helps you dear friend
Thanks me as much as possible