What is 4 2/7 ⋅ 2 1/5 ?
2 answers:
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
You might be interested in
Answer:
Wilton found 10 dimes while cleaning his father's truck.
Step-by-step explanation:
Given that:
Total amount collected = $8.50 = 8.50*100 = 850 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
10x+25y=850 Eqn 1
y = 3x Eqn 2
Putting y=3x in Eqn 1
Dividing both sides by 85
As x represents dimes, therefore, number of dimes is 10.
Hence,
Wilton found 10 dimes while cleaning his father's truck.