Multiply 7/10 times 5. Write the answer as a mixed number in simplest form.(1 point)
Responses
35/10
7/2
3 5/10
3 1/2
The correct answer is 3 1/2.
To multiply 7/10 by 5, follow these steps:
Step 1: Multiply the numerators (top numbers) together: 7 * 5 = 35.
Step 2: Multiply the denominators (bottom numbers) together: 10 * 1 = 10.
Step 3: Write the result from step 1 as the numerator and the result from step 2 as the denominator: 35/10.
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor. The greatest common factor of 35 and 10 is 5. Divide 35 by 5 and divide 10 by 5 to get 7/2.
Step 5: The result is 7/2, which can also be written as a mixed number in simplest form as 3 1/2.
So, the answer, written as a mixed number in simplest form, is 3 1/2.
To multiply 7/10 by 5, we can follow these steps:
Step 1: Multiply the numerator (top number) of the fraction by the whole number (5 in this case): 7 × 5 = 35.
Step 2: Keep the denominator (bottom number) of the fraction the same: 10.
Step 3: Simplify the resulting fraction, if needed.
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 35 and 10 is 5.
Dividing the numerator 35 by 5, we get 7. Dividing the denominator 10 by 5, we get 2.
So, the simplified fraction is 7/2.
Now, to express it as a mixed number, we divide the numerator (7) by the denominator (2) and write the quotient as the whole number part, while the remainder becomes the numerator of the fractional part.
7 ÷ 2 = 3 remainder 1.
Therefore, the mixed number in simplest form is 3 1/2.