Multiply 4 by 2 3/7. Convert the product to be a mixed number.(1 point)
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To multiply 4 by 2 3/7, we first convert 4 into a fraction. 4 can be written as 4/1.
Now we can multiply:
4/1 * 2 3/7 = (4/1) * (2 + 3/7)
To multiply fractions, we multiply the numerators and denominators separately:
= (4 * 2 + 4 * 3/7) / 1
= (8 + 12/7) / 1
To add the whole numbers with the fractions, we need to find a common denominator. The common denominator between 7 and 1 is 7.
= (8 * 7/7 + 12/7) / 1
= (56/7 + 12/7) / 1
= (68/7) / 1
Now we divide 68 by 7:
= 68 ÷ 7
This gives us 9 remainder 5.
So, the mixed number is:
9 5/7.