1.Fill in the blank to make the equation true. Show your work.____ m = 12.1 km
a. 0.00121
b. 12,100
c. 121
d. 1,210
2.Fill in the blank to make the equation true. Show your work.____ mg = 15.6 cg
a. 1.56
b. 15.6
c. 156
d. 1,560
3.Simplify the expression. 2/5+3/8
a. 5/13
b. 5/40
c. 31/40
d. 1/8
4.implify the expression.-2/3+2/7
a. -0/10
b. -8/21
c. -20/21
d. 7/21
5.simplify the expression.-2/3+2/7
a. -0/10
b. -8/21
c. -20/21
d. 7/21
5.Simplify the expression. 9 1/8+ 5 1/4 *
a. 14 12
b. 14 3/8
c. 14 2/12
d. 14 1/6
6.Simplify the expression. -1/5 + (-3/8)
a. -23/40
b. -7/40
c. -4/13
d. -2/3
7.Simplify the expression. 1/3-1/8
a. 0
b. 5/24
c. -1/5
d. -2/11
8.Show your work for the following: 2 1/3 - 3/4
9.Show your work for the following: 8 1/6 + 7 3/12
1. To solve the equation m = 12.1 km, we need to find the value of m that makes the equation true. The unit for km is larger than the unit for m, so we need to convert km to m. Since 1 km is equal to 1000 m, we can multiply both sides of the equation by 1000: m * 1000 = 12.1 * 1000. This simplifies to m = 12100. Therefore, the answer is b. 12,100.
2. Similar to the previous question, to solve the equation mg = 15.6 cg, we need to convert the units to be the same. Since 1 cg is equal to 0.01 mg, we can multiply both sides of the equation by 0.01: mg * 0.01 = 15.6 * 0.01. This simplifies to mg = 0.156. Therefore, the answer is a. 1.56.
3. To simplify the expression 2/5 + 3/8, we need to find a common denominator for the two fractions. The least common multiple (LCM) of 5 and 8 is 40. Multiplying the numerator and denominator of the first fraction by 8 and the numerator and denominator of the second fraction by 5, we get (2 * 8)/(5 * 8) + (3 * 5)/(8 * 5) = 16/40 + 15/40. Adding the two fractions, we get 31/40. Therefore, the answer is c. 31/40.
4. To simplify the expression -2/3 + 2/7, we need to find a common denominator for the two fractions. The least common multiple (LCM) of 3 and 7 is 21. Multiplying the numerator and denominator of the first fraction by 7 and the numerator and denominator of the second fraction by 3, we get (-2 * 7)/(3 * 7) + (2 * 3)/(7 * 3) = -14/21 + 6/21. Adding the two fractions, we get -8/21. Therefore, the answer is b. -8/21.
5. This question appears to be a repetition of question 4. The answer is b. -8/21.
6. To simplify the expression -1/5 + (-3/8), we need to find a common denominator for the two fractions. The least common multiple (LCM) of 5 and 8 is 40. Multiplying the numerator and denominator of the first fraction by 8 and the numerator and denominator of the second fraction by 5, we get (-1 * 8)/(5 * 8) + (-3 * 5)/(8 * 5) = -8/40 + -15/40. Adding the two fractions, we get -23/40. Therefore, the answer is a. -23/40.
7. To simplify the expression 1/3 - 1/8, we need to find a common denominator for the two fractions. The least common multiple (LCM) of 3 and 8 is 24. Multiplying the numerator and denominator of the first fraction by 8 and the numerator and denominator of the second fraction by 3, we get (1 * 8)/(3 * 8) - (1 * 3)/(8 * 3) = 8/24 - 3/24. Subtracting the two fractions, we get 5/24. Therefore, the answer is b. 5/24.
8. To find the solution to the expression 2 1/3 - 3/4, we need to convert the mixed number to an improper fraction. 2 1/3 can be written as (2 * 3 + 1)/3 = 7/3. Now, we can subtract the two fractions, (7/3) - (3/4). To find a common denominator for the fractions, we need to find the least common multiple (LCM) of 3 and 4, which is 12. Multiplying the numerator and denominator of the first fraction by 4 and the numerator and denominator of the second fraction by 3, we get (7 * 4)/(3 * 4) - (3 * 3)/(4 * 3) = 28/12 - 9/12. Subtracting the two fractions, we get 19/12. Therefore, the answer is 19/12.
9. To find the solution to the expression 8 1/6 + 7 3/12, we need to convert the mixed numbers to improper fractions. 8 1/6 can be written as (8 * 6 + 1)/6 = 49/6, and 7 3/12 can be written as (7 * 12 + 3)/12 = 87/12. Now, we can add the two fractions, (49/6) + (87/12). To find a common denominator for the fractions, we need to find the least common multiple (LCM) of 6 and 12, which is 12. Multiplying the numerator and denominator of the first fraction by 2 and the numerator and denominator of the second fraction by 1, we get (49 * 2)/(6 * 2) + (87 * 1)/(12 * 1) = 98/12 + 87/12. Adding the two fractions, we get 185/12. Therefore, the answer is 185/12.