• Grammar & Vocabulary

  Fraction

  Posted by Beatriz Valdes on August 7, 2024 at 5:59 pm

  Can you subtract 3 3/4 from 4 1/2?

  Mawar Tanjung replied 7 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Mawar Tanjung

  Member

  August 9, 2024 at 10:29 am

  Sure! To subtract <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>3</mn><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>3 \frac{3}{4}</annotation></semantics></math>343​ from <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>4 \frac{1}{2}</annotation></semantics></math>421​:

  1. Convert the mixed numbers to improper fractions:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>9</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>4 \frac{1}{2} = \frac{9}{2}</annotation></semantics></math>421​=29​
     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>3</mn><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>15</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>3 \frac{3}{4} = \frac{15}{4}</annotation></semantics></math>343​=415​

  2. Find a common denominator for the fractions. The least common denominator for 2 and 4 is 4.

  3. Convert <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>9</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{9}{2}</annotation></semantics></math>29​ to have the denominator of 4:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>9</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>18</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{9}{2} = \frac{18}{4}</annotation></semantics></math>29​=418​

  4. Subtract <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>15</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{15}{4}</annotation></semantics></math>415​ from <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>18</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{18}{4}</annotation></semantics></math>418​:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>18</mn><mn>4</mn></mfrac><mo>−</mo><mfrac><mn>15</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{18}{4} – \frac{15}{4} = \frac{3}{4}</annotation></semantics></math>418​−415​=43​

  So, <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>−</mo><mn>3</mn><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>4 \frac{1}{2} – 3 \frac{3}{4} = \frac{3}{4}</annotation></semantics></math>421​−343​=43​.

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