MTTC Upper Elementary Fractions Decimals and Pre-Algebra Quiz

To add 3/4 and 1/8, first convert 3/4 to eighths, which is 6/8. Then, add 6/8 and 1/8 to get 7/8. This shows how to combine fractions with a common denominator for the correct result.

To convert 0.65 to a fraction, express it as 65/100. Simplifying this fraction involves dividing both the numerator and denominator by their greatest common divisor, which is 5. Thus, 65 ÷ 5 equals 13 and 100 ÷ 5 equals 20, resulting in the simplified fraction 13/20.

To solve the equation 5x + 3 = 18, first subtract 3 from both sides, yielding 5x = 15. Next, divide both sides by 5 to isolate x, resulting in x = 3. This value satisfies the original equation, confirming it as the correct solution.

To find the product of two fractions, multiply the numerators and the denominators. For 2/3 × 9/10, multiply 2 by 9 to get 18, and 3 by 10 to get 30. This gives 18/30. Simplifying 18/30 by dividing both the numerator and denominator by 6 results in 3/5.

To convert the fraction 7/8 into a decimal, divide 7 by 8. Performing the division gives 0.875, which represents the value of 7/8 in decimal form. This shows that 0.875 is the correct equivalent decimal for the fraction.

To solve the equation 2(x - 4) = 10, first divide both sides by 2, yielding x - 4 = 5. Then, add 4 to both sides to isolate x, resulting in x = 9. This confirms that 9 is the solution to the equation.

To divide fractions, multiply the first fraction by the reciprocal of the second. Here, 5/6 ÷ 2/3 becomes 5/6 × 3/2. This simplifies to (5 × 3) / (6 × 2) = 15/12, which reduces to 5/4. Thus, the final answer is 5/4.

To arrange the numbers from least to greatest, first convert all values to decimals: 1/3 is approximately 0.333, 0.45 remains 0.45, 2/5 is 0.4, and 0.5 remains 0.5. Ordering these gives 0.333 (1/3), 0.45, 0.4 (2/5), and 0.5, resulting in the sequence 1/3, 0.45, 2/5, 0.5.

To find the product of 3.5 and 2.4, multiply the two numbers together. When calculated, 3.5 × 2.4 equals 8.4. This result can be verified through basic multiplication, confirming that 8.4 is the correct answer.

To simplify 4/12 + 3/9, first reduce each fraction: 4/12 simplifies to 1/3 and 3/9 simplifies to 1/3. Adding these gives 1/3 + 1/3 = 2/3. Thus, the simplified result of the original expression is 2/3.

To solve the equation -3x + 7 = -2, first, isolate the variable by subtracting 7 from both sides, resulting in -3x = -9. Then, divide by -3, yielding x = 3. This value satisfies the original equation, confirming it as the solution.

To solve 12.6 ÷ 4.2, we can simplify the division by converting it into a fraction: 12.6/4.2. Dividing both the numerator and denominator by 4.2 gives us 3, as 12.6 is three times 4.2. Thus, the result of the division is 3.