Subtract 2 3/8 − 1 2/8 .(1 point)

Question

Responses

1 6/64
1 Start Fraction 6 over 64 End Fraction

3 5/8
3 Start Fraction 5 over 8 End Fraction

1/8
Start Fraction 1 over 8 End Fraction

1 1/8

Answer 1

To subtract \( 2 \frac{3}{8} - 1 \frac{2}{8} \), let's follow these steps:

1. Convert the mixed numbers to improper fractions if necessary:

   • \( 2 \frac{3}{8} = \frac{16}{8} + \frac{3}{8} = \frac{19}{8} \)
   • \( 1 \frac{2}{8} = \frac{8}{8} + \frac{2}{8} = \frac{10}{8} \)

2. Now subtract the improper fractions: \[ \frac{19}{8} - \frac{10}{8} = \frac{19 - 10}{8} = \frac{9}{8} \]

3. Convert \( \frac{9}{8} \) back to a mixed number:

   • \( \frac{9}{8} = 1 \frac{1}{8} \)

Thus, the result of \( 2 \frac{3}{8} - 1 \frac{2}{8} \) is \( 1 \frac{1}{8} \).

So the correct response is: 1 1/8.

Answer 2

Alex is solving 7510 − 1610
. What is the correct result? (1 point)
Responses

6910
6 Start Fraction 9 over 10 End Fraction

5110
5 Start Fraction 1 over 10 End Fraction

9110
9 Start Fraction 1 over 10 End Fraction

5910

Answer 3

To solve \( 7510 - 1610 \), we can perform the subtraction step by step:

1. Start by subtracting the whole numbers: \[ 7510 - 1610 = 5900 \]

2. So you have: \[ 5900 = 5910 - 10 \] which doesn't apply here since we are subtracting directly: we just need to focus on the whole number subtraction:

   • \( 5910 \) represents \( 5900 \) with \( 10 \) represented in tenths.
   • Therefore, the numerical value calculated is going to be \( 5900 = 5900\) rather than attempting to revert it into mixed fractions.

So, if you look at the choices you provided, the one that matches \( 5900 \) is:

5910.

Answer 4

i meant: Alex is solving 7 5/10 − 1 6/10
. What is the correct result? (1 point)
Responses

6 9/10
6 Start Fraction 9 over 10 End Fraction

5 1/10
5 Start Fraction 1 over 10 End Fraction

9 1/10
9 Start Fraction 1 over 10 End Fraction

5 9/10

Answer 5

To solve \( 7 \frac{5}{10} - 1 \frac{6}{10} \), we follow these steps:

1. Convert the mixed numbers to improper fractions if necessary:

   • \( 7 \frac{5}{10} = \frac{75}{10} \) (since \( 7 \times 10 + 5 = 75 \))
   • \( 1 \frac{6}{10} = \frac{16}{10} \) (since \( 1 \times 10 + 6 = 16 \))

2. Now subtract the improper fractions: \[ \frac{75}{10} - \frac{16}{10} = \frac{75 - 16}{10} = \frac{59}{10} \]

3. Convert \( \frac{59}{10} \) back to a mixed number:

   • \( \frac{59}{10} = 5 \frac{9}{10} \)

Thus, the result of \( 7 \frac{5}{10} - 1 \frac{6}{10} \) is \( 5 \frac{9}{10} \).

So the correct response is: 5 9/10.

Answer 6

Plaisi is solving 3 2/4 + 3 3/4
. What is the correct result?(1 point)
Responses

358
3 Start Fraction 5 over 8 End Fraction

714
7 Start Fraction 1 over 4 End Fraction

712
7 Start Fraction 1 over 2 End Fraction

614

Answer 7

To solve \( 3 \frac{2}{4} + 3 \frac{3}{4} \), we can follow these steps:

1. Convert the mixed numbers to improper fractions:

   • \( 3 \frac{2}{4} = \frac{3 \times 4 + 2}{4} = \frac{12 + 2}{4} = \frac{14}{4} \)
   • \( 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \)

2. Now add the improper fractions: \[ \frac{14}{4} + \frac{15}{4} = \frac{14 + 15}{4} = \frac{29}{4} \]

3. Convert \( \frac{29}{4} \) back to a mixed number:

   • \( \frac{29}{4} = 7 \frac{1}{4} \) (since \( 4 \) goes into \( 29 \) a total of \( 7 \) times with a remainder of \( 1 \))

Thus, the result of \( 3 \frac{2}{4} + 3 \frac{3}{4} \) is \( 7 \frac{1}{4} \).

So the correct response is: 7 1/4.

Answer 8

Add 6 1/3+7 1/2
. What is the sum?(1 point)
Responses

1356
13 Start Fraction 5 over 6 End Fraction

1456
14 Start Fraction 5 over 6 End Fraction

1325
13 Start Fraction 2 over 5 End Fraction

1316
13 Start Fraction 1 over 6 End Fraction

Answer 9

To add \( 6 \frac{1}{3} + 7 \frac{1}{2} \), we can follow these steps:

1. Convert the mixed numbers to improper fractions:

   • For \( 6 \frac{1}{3} \): \[ 6 \frac{1}{3} = \frac{6 \times 3 + 1}{3} = \frac{18 + 1}{3} = \frac{19}{3} \]
   • For \( 7 \frac{1}{2} \): \[ 7 \frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \]

2. Find a common denominator:

   • The least common multiple of \( 3 \) and \( 2 \) is \( 6 \).

3. Convert the fractions to have a common denominator:

   • \( \frac{19}{3} = \frac{19 \times 2}{3 \times 2} = \frac{38}{6} \)
   • \( \frac{15}{2} = \frac{15 \times 3}{2 \times 3} = \frac{45}{6} \)

4. Add the fractions: \[ \frac{38}{6} + \frac{45}{6} = \frac{38 + 45}{6} = \frac{83}{6} \]

5. Convert \( \frac{83}{6} \) back to a mixed number:

   • \( 83 \div 6 = 13 \) with a remainder of \( 5 \).
   • Thus, \( \frac{83}{6} = 13 \frac{5}{6} \).

The final result is: 13 5/6 (which corresponds to the first option "1356").

Answer 10

Thanks!!
What is the difference of 312
and 123
(1 point)
Responses

156
1 Start Fraction 5 over 6 End Fraction

256
2 Start Fraction 5 over 6 End Fraction

516
5 Start Fraction 1 over 6 End Fraction

149
1 Start Fraction 4 over 9 End Fraction

Answer 11

To find the difference between \( 312 \) and \( 123 \), simply perform the subtraction:

\[ 312 - 123 \]

1. Perform the subtraction:
   • Starting from the rightmost column:
     • \( 2 - 3 \) cannot be done, so we borrow \( 1 \) from the \( 1 \) in the tens column. It becomes \( 0 \), and \( 2 \) becomes \( 12 \).
     • Now, \( 12 - 3 = 9 \).
   • In the tens column, we have \( 0 - 2 \), which cannot be done, so we borrow \( 1 \) from the hundreds column. The \( 3 \) becomes \( 2 \), and \( 0 \) becomes \( 10 \).
     • Now, \( 10 - 2 = 8 \).
   • In the hundreds column, we have \( 2 - 1 = 1 \).

Putting everything together, the result is:

\[ 312 - 123 = 189 \]

Looking at your provided responses, none of the listed options match the calculated difference of \( 189 \). Could there be a typo or mistake in the provided problem or responses? If you clarify, I'd be happy to help!