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Add the following fractions: 12 + 38

(1 point)
Responses

12
Start Fraction 1 over 2 End Fraction

25
Start Fraction 2 over 5 End Fraction

410
Start Fraction 4 over 10 End Fraction

78

9 answers

To add the fractions \( \frac{1}{2} + \frac{3}{8} \):

  1. Find a common denominator. The least common multiple of 2 and 8 is 8.

    Convert \( \frac{1}{2} \) to a fraction with a denominator of 8: \[ \frac{1}{2} = \frac{4}{8} \]

  2. Now add the fractions: \[ \frac{4}{8} + \frac{3}{8} = \frac{7}{8} \]

So, \( \frac{1}{2} + \frac{3}{8} = \frac{7}{8} \).

Therefore, the answer is:

7/8

Add the following fractions: 320 + 12
(1 point)
Responses

45
Start Fraction 4 over 5 End Fraction

1320
Start Fraction 13 over 20 End Fraction

211
Start Fraction 2 over 11 End Fraction

1020

To add the fractions \( \frac{3}{20} + \frac{1}{2} \):

  1. Find a common denominator. The least common multiple of 20 and 2 is 20.

  2. Convert \( \frac{1}{2} \) to a fraction with a denominator of 20: \[ \frac{1}{2} = \frac{10}{20} \]

  3. Now add the fractions: \[ \frac{3}{20} + \frac{10}{20} = \frac{13}{20} \]

So, \( \frac{3}{20} + \frac{1}{2} = \frac{13}{20} \).

Therefore, the answer is:

Start Fraction 13 over 20 End Fraction

Add the following fractions: 3/7 + 1/5
(1 point)
Responses

4/15
Start Fraction 4 over 15 End Fraction

1/3
Start Fraction 1 over 3 End Fraction

1/2
Start Fraction 1 over 2 End Fraction

22/35

To add the fractions \( \frac{3}{7} + \frac{1}{5} \), we need to find a common denominator:

  1. The denominators are 7 and 5. The least common multiple (LCM) of 7 and 5 is 35.

  2. Convert each fraction to have a denominator of 35:

    • For \( \frac{3}{7} \): \[ \frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35} \]
    • For \( \frac{1}{5} \): \[ \frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35} \]

  3. Now add the converted fractions: \[ \frac{15}{35} + \frac{7}{35} = \frac{15 + 7}{35} = \frac{22}{35} \]

Thus, the sum of \( \frac{3}{7} + \frac{1}{5} \) is \( \frac{22}{35} \).

Therefore, the answer is:

22/35

Add the following fractions: 415 + 13
(1 point)
Responses

35
Start Fraction 3 over 5 End Fraction

518
Start Fraction 5 over 18 End Fraction

45
Start Fraction 4 over 5 End Fraction

53

To add the fractions \(\frac{4}{15} + \frac{1}{3}\):

  1. Find a common denominator. The denominators are 15 and 3. The least common multiple (LCM) of 15 and 3 is 15.

  2. Convert \(\frac{1}{3}\) to a fraction with a denominator of 15: \[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

  3. Now add the fractions: \[ \frac{4}{15} + \frac{5}{15} = \frac{4 + 5}{15} = \frac{9}{15} \]

  4. Simplify \(\frac{9}{15}\): \[ \frac{9}{15} = \frac{3}{5} \quad (\text{by dividing the numerator and denominator by 3}) \]

Thus, the final answer is:

Start Fraction 3 over 5 End Fraction

Add the following fractions: 13 + 710
(1 point)
Responses

830
Start Fraction 8 over 30 End Fraction

45
Start Fraction 4 over 5 End Fraction

3130
Start Fraction 31 over 30 End Fraction

813

To add the fractions \( \frac{1}{3} + \frac{7}{10} \):

  1. Find a common denominator. The denominators are 3 and 10. The least common multiple (LCM) of 3 and 10 is 30.

  2. Convert each fraction to have a denominator of 30:

    • For \( \frac{1}{3} \): \[ \frac{1}{3} = \frac{1 \times 10}{3 \times 10} = \frac{10}{30} \]
    • For \( \frac{7}{10} \): \[ \frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30} \]

  3. Now add the converted fractions: \[ \frac{10}{30} + \frac{21}{30} = \frac{10 + 21}{30} = \frac{31}{30} \]

Thus, the sum of \( \frac{1}{3} + \frac{7}{10} \) is \( \frac{31}{30} \).

Therefore, the answer is:

Start Fraction 31 over 30 End Fraction