ANSWERS AT THE BOTTOM!! PLEASE HELP 10 POINTs!!
1 answer:
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Answer:
Betsy uses gold to make the earrings
Step-by-step explanation:
Given:
Amount of gold with Betsy = ten and one half ounces
Amount of gold Betsy used to make earrings = four fifths
To Find:
How much gold is used by Betsy to make earrings = ?
Solution:
Let the quantity of gold used by Betsy to make earring be X
Then
X = four fifths of ten and one half
X =
X =
X =
X=
Reducing the fraction to lower terms and converting into mixed fraction we get,
X=
Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change to the improper fraction 30/7.
We can also change to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7