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  Posted by Danish Iqbal Satti on July 22, 2024 at 3:52 pm

  Can you add 1/4, 2, and 1 1/2?

  brajesh replied 9 months ago 2 Members · 1 Reply
• 1 Reply

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  brajesh

  Member

  July 23, 2024 at 12:19 pm

  To add <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{1}{4}</annotation></semantics></math>41​, <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>2</mn></mrow><annotation encoding=”application/x-tex”>2</annotation></semantics></math>2, and <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>1</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>1 \frac{1}{2}</annotation></semantics></math>121​, follow these steps:

  1. Convert mixed numbers to improper fractions:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>1</mn><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>1 \frac{1}{2} = \frac{3}{2}</annotation></semantics></math>121​=23​

  2. Find a common denominator for the fractions:

     • The denominators are 4 and 2. The least common denominator is 4.

  3. Convert <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{3}{2}</annotation></semantics></math>23​ to have a denominator of 4:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn><mo>×</mo><mn>2</mn></mrow><mrow><mn>2</mn><mo>×</mo><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mn>6</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}</annotation></semantics></math>23​=2×23×2​=46​

  4. Add the fractions:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>+</mo><mfrac><mn>6</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{1}{4} + \frac{6}{4} = \frac{7}{4}</annotation></semantics></math>41​+46​=47​

  5. Convert <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>7</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{7}{4}</annotation></semantics></math>47​ to a mixed number:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>7</mn><mn>4</mn></mfrac><mo>=</mo><mn>1</mn><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{7}{4} = 1 \frac{3}{4}</annotation></semantics></math>47​=143​

  6. Add the whole number 2 to <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>1</mn><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>1 \frac{3}{4}</annotation></semantics></math>143​:

     • <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>2</mn><mo>+</mo><mn>1</mn><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mn>3</mn><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>2 + 1 \frac{3}{4} = 3 \frac{3}{4}</annotation></semantics></math>2+143​=343​

  So, <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>+</mo><mn>2</mn><mo>+</mo><mn>1</mn><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mn>3</mn><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{1}{4} + 2 + 1 \frac{1}{2} = 3 \frac{3}{4}</annotation></semantics></math>41​+2+121​=343​.

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