Moira needs a total of 2 1/4

Question

hours to finish reading a book. Yesterday, she read for 1 7/8
hours. Supply the correct numbers to complete the equation that can be used to determine the number of hours, h
, that Moira needs to read to finish the book.(1 point)

Answer 1

To determine the number of hours, \( h \), that Moira still needs to read to finish the book, we can set up the equation based on the total time required to finish the book and the time she has already read.

1. The total time Moira needs to finish the book is \( 2 \frac{1}{4} \) hours.
2. The time she read yesterday is \( 1 \frac{7}{8} \) hours.

We want to find how many more hours she needs to read, so we set up the equation:

\[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \]

To make this clearer, you can convert the mixed numbers to improper fractions or simply leave it in this format and solve it as is.

1. Convert \( 2 \frac{1}{4} \) to an improper fraction: \[ 2 \frac{1}{4} = \frac{9}{4} \]

2. Convert \( 1 \frac{7}{8} \) to an improper fraction: \[ 1 \frac{7}{8} = \frac{15}{8} \]

Now the equation becomes: \[ h = \frac{9}{4} - \frac{15}{8} \]

To subtract these two fractions, we need a common denominator, which is 8: \[ h = \frac{9 \cdot 2}{4 \cdot 2} - \frac{15}{8} = \frac{18}{8} - \frac{15}{8} = \frac{3}{8} \]

So, Moira needs \( \frac{3}{8} \) hours to finish reading the book.

Therefore, the complete equation is:

\[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \]

And the solution is that \( h = \frac{3}{8} \) hours.

Answer 2

wrong

Answer 3

I apologize for any confusion in my response. Let's carefully redo the calculation step-by-step.

Moira needs a total of \( 2 \frac{1}{4} \) hours to finish reading the book. She already read for \( 1 \frac{7}{8} \) hours.

Step 1: Convert the mixed numbers to improper fractions.

1. Convert \( 2 \frac{1}{4} \) to an improper fraction: \[ 2 \frac{1}{4} = 2 \cdot 4 + 1 = \frac{8 + 1}{4} = \frac{9}{4} \]

2. Convert \( 1 \frac{7}{8} \) to an improper fraction: \[ 1 \frac{7}{8} = 1 \cdot 8 + 7 = \frac{8 + 7}{8} = \frac{15}{8} \]

Step 2: Setup the equation to find \( h \).

The equation to find the remaining hours \( h \) will be: \[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \] In terms of improper fractions, this is: \[ h = \frac{9}{4} - \frac{15}{8} \]

Step 3: Find a common denominator.

The common denominator for \( \frac{9}{4} \) and \( \frac{15}{8} \) is 8. Convert \( \frac{9}{4} \): \[ \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8} \]

Step 4: Perform the subtraction:

Now we can subtract: \[ h = \frac{18}{8} - \frac{15}{8} = \frac{18 - 15}{8} = \frac{3}{8} \]

Conclusion:

So, the final equation that Moira can use to determine how many more hours she needs to read is: \[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \] And the value of \( h \) is \( \frac{3}{8} \) hours.

If there was a misunderstanding or if you meant something different, please clarify, and I will be more than happy to assist!

Answer 4

omg the equation is wrong

Answer 5

I apologize for the oversight in my previous response. Let's clarify the problem step-by-step once again and correctly formulate the equation.

Moira needs a total of \(2 \frac{1}{4}\) hours to finish reading the book, and yesterday she read for \(1 \frac{7}{8}\) hours. We want to determine how many more hours \(h\) she needs.

Step 1: Convert mixed numbers to improper fractions

1. Convert \(2 \frac{1}{4}\): \[ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]

2. Convert \(1 \frac{7}{8}\): \[ 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8} \]

Step 2: Set up the equation

We want to find the remaining time \(h\), which can be calculated as follows:

• The total reading time needed minus the time already read gives us the remaining time: \[ h = \text{Total time needed} - \text{Time already read} \] Substituting our values: \[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \]

In terms of improper fractions, \[ h = \frac{9}{4} - \frac{15}{8} \]

Step 3: Simplify the equation

To perform the subtraction correctly, we will find a common denominator:

• The common denominator of \(4\) and \(8\) is \(8\).
• Convert \(\frac{9}{4}\) to have a denominator of \(8\): \[ \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8} \] So the equation becomes: \[ h = \frac{18}{8} - \frac{15}{8} \]

Step 4: Calculate \(h\)

Now subtract: \[ h = \frac{18}{8} - \frac{15}{8} = \frac{3}{8} \]

Final Answer:

The correct equation to determine the number of hours \(h\) that Moira still needs to read is: \[ h = 2 \frac{1}{4} - 1 \frac{7}{8} \]

And the solution is \(h = \frac{3}{8}\) hours.

I hope this clears up any confusion, and I thank you for your patience! If you have further questions or need additional assistance, please let me know.