Questions: Subtract. Write the answer as a fraction simplified to lowest terms. 21/20 - 3/10 =

Subtract. Write the answer as a fraction simplified to lowest terms. 21/20 - 3/10 =
Transcript text: Subtract. Write the answer as a fraction simplified to lowest terms. \[ \frac{21}{20}-\frac{3}{10}= \] $\square$
failed

Solution

failed
failed

Solution Steps

To subtract the fractions, we need to find a common denominator. Once we have the common denominator, we can convert both fractions to have this common denominator, perform the subtraction, and then simplify the result to its lowest terms.

Step 1: Find a Common Denominator

To subtract the fractions \(\frac{21}{20}\) and \(\frac{3}{10}\), we first need to find a common denominator. The least common multiple (LCM) of 20 and 10 is 20.

Step 2: Convert Fractions to Common Denominator

Convert \(\frac{3}{10}\) to a fraction with a denominator of 20: \[ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \]

Step 3: Perform the Subtraction

Now that both fractions have the same denominator, we can subtract them: \[ \frac{21}{20} - \frac{6}{20} = \frac{21 - 6}{20} = \frac{15}{20} \]

Step 4: Simplify the Result

Simplify \(\frac{15}{20}\) to its lowest terms by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 5: \[ \frac{15 \div 5}{20 \div 5} = \frac{3}{4} \]

Final Answer

\[ \boxed{\frac{3}{4}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Se requiere llevar una lista con valores aleatorios numéricos entre 1 y 50. Considere que el largo de la lista es num La forma de escribir la importación al módulo random para apoyar el desarrollo de esta solución computacional es: from random() import random for i in range(num): lista.append(random(1,50)) from random import randint for i in range(num): lista.append(randint(1,50)) import randint from random for i in range(num): lista.append(randint(1,50)) import randint from randint for i in range(num): lista.append(randint(1,50))
failedAnswered
The prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c). 88, 116, 98, 78, 82, 92, 94, 89, 94, 81, 108, 113, 100, 96, 86, 92, 74, 99, 91
failedAnswered
A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 63 square feet. Find the length of the rectangle.
failedAnswered
Question 3 1 pts The function represented by the table is neither quadratic nor linear because its average rate of change over consecutive intervals of equal length is neither constant nor linear x f(x) 100 10 200 9 300 7 400 4
failedAnswered
Quantitative observations rely on the use of which of the following to gather data and observe results? a Hearing b Smell c Taste d Measurements