Moria needs a total of 2 1/4 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 moria needs to read to finish the book
To find the number of hours, h, that Moria needs to read to finish the book, we can subtract the time she already read yesterday from the total time it takes her to finish the book.
Total time to finish the book = 2 1/4 hours
Time already read yesterday = 1 7/8 hours
So, the equation that can be used to determine the number of hours, h, that Moria needs to read is:
2 1/4 - 1 7/8 = h
To determine the number of hours, h, that Moria needs to read to finish the book, we can subtract the time she already read, 1 7/8 hours, from the total time needed, 2 1/4 hours.
Step 1: Convert the mixed numbers to improper fractions.
1 7/8 = (8*1 + 7)/8 = 15/8
2 1/4 = (4*2 + 1)/4 = 9/4
Step 2: Subtract the fractions.
h = 9/4 - 15/8
To subtract fractions with different denominators, we need to find a common denominator, which is the least common multiple (LCM) of 4 and 8, which is 8.
Step 3: Rewrite the fractions with the common denominator.
h = (9/4)*(2/2) - (15/8)*(1/1)
= 18/8 - 15/8
Step 4: Subtract the numerators.
h = (18 - 15)/8
h = 3/8
Therefore, Moria needs to read for 3/8 hours or 0.375 hours to finish the book.
To determine the number of hours, h, that Moria needs to read to finish the book, we can set up an equation.
Let's first convert the mixed numbers to improper fractions:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now, we can set up the equation:
h + 1 7/8 = 2 1/4
To solve for h, we need to isolate the variable on one side of the equation.
First, let's subtract 1 7/8 from both sides of the equation:
h = 2 1/4 - 1 7/8
Next, we need to find a common denominator for 4 and 8, which is 8.
To express 2 1/4 and 1 7/8 with a common denominator of 8, we can multiply each fraction by 2:
h = (2 * 2 + 1) / 4 - (1 * 2 + 7) / 8
= (4 + 1) / 4 - (2 + 7) / 8
= 5/4 - 9/8
To subtract these fractions, we need a common denominator of 8.
h = (5 * 2) / (4 * 2) - 9/8
= 10/8 - 9/8
Now that we have a common denominator, we can subtract the fractions:
h = (10 - 9) / 8
= 1/8
Therefore, Moria needs to read 1/8 hours (or 7.5 minutes) to finish the book.