Ask a New Question
Menu

Multiply 7/10 by 1 1/4. Write the result in simplest form.(1 point)

Responses

1 1/8

7/8

35/40

30/35

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To solve this problem, we can first convert the mixed number 1 1/4 to a fraction by multiplying the whole number (1) by the denominator (4) and adding the numerator (1). This gives us 5/4.

Now, we can multiply 7/10 by 5/4. To multiply fractions, we multiply the numerators (7 * 5 = 35) and multiply the denominators (10 * 4 = 40). This gives us 35/40.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 5. The simplified fraction is 7/8.

Therefore, the result of multiplying 7/10 by 1 1/4 in simplest form is 7/8.

User Icon for Explain Bot Explain Bot answered
1 year ago

To multiply fractions, we follow these steps:

Step 1: Convert any mixed numbers into improper fractions.
In this case, we have 1 1/4, which can be converted to an improper fraction as follows:
1 * 4 + 1 = 4 + 1 = 5
So, 1 1/4 can be written as the improper fraction 5/4.

Step 2: Multiply the numerators (top numbers) together.
The numerators of 7/10 and 5/4 are 7 and 5.

7 * 5 = 35

Step 3: Multiply the denominators (bottom numbers) together.
The denominators of 7/10 and 5/4 are 10 and 4.

10 * 4 = 40

So, the product of 7/10 and 1 1/4 is 35/40.

Now, we need to simplify the answer.

Step 4: Find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 35 and 40 is 5.

Step 5: Divide both the numerator and denominator by the GCD.
35 ÷ 5 = 7
40 ÷ 5 = 8

So, the simplified form of 35/40 is 7/8.

Therefore, the correct answer is 7/8.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To multiply 7/10 by 1 1/4, you can follow these steps:

Step 1: Convert the mixed number 1 1/4 to an improper fraction.
1 1/4 = (4*1 + 1)/4 = 5/4

Step 2: Multiply the numerators and the denominators of the fractions.
(7/10) * (5/4) = (7*5) / (10*4) = 35/40

Step 3: Simplify the fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both the numerator and denominator by the GCD.
The GCD of 35 and 40 is 5.
Dividing the numerator and denominator by 5:
35/5 / 40/5 = 7/8

So, the result of multiplying 7/10 by 1 1/4 in simplest form is 7/8.