¹³/₄ or 3¹/₄ or 3.25
Further explanation
The Problem:
- 3 times as much as the sum of \(\frac{3}{4}\) and \(\frac{2}{6}\)
- Write an expression to match, and then solve.
The Process:
Here are some early expressions that need attention.
- three-quarter is \(\boxed{\frac{3}{4}}\)
- two-sixth is \(\boxed{\frac{2}{6}}\)
- the sum of \(\frac{3}{4} \ and \ \frac{2}{6}\) is \(\boxed{\frac{3}{4} + \frac{2}{6}}\)
Let us write an expression to match for 3 times as much as the sum of \(\frac{3}{4}\) and \(\frac{2}{6}\)
\(\boxed{\boxed{ \ 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }}\)
Let us calculate the operation in parentheses at first.
\(\frac{3}{4} + \frac{2}{6}\)
A least common multiple of 4 and 6 is 12. We use to equate the denominator.
\(\frac{3 \times 3}{4 \times 3} + \frac{2 \times 2}{6 \times 2}\)
\(\frac{9}{12} + \frac{4}{12}\)
\(\frac{13}{12}\)
And now we solve the full expression.
\(\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }\)
\(\boxed{ \ = 3 \times \frac{13}{12} \ }\)
We cross out 3 and 12 because they both can be divided.
\(\boxed{ \ = 1 \times 1\frac{13}{4} \ }\)
\(\boxed{\boxed{ \ = \frac{13}{4} \ }}\)
In mixed fraction:
\(\boxed{ \ \frac{13}{4} = \ ? \ }\)
\(\boxed{ \ = \frac{12}{4} + \frac{1}{4} \ }\)
\(\boxed{ \ = 3 + \frac{1}{4} \ }\)
\(\boxed{\boxed{ \ = 3\frac{1}{4} \ }}\)
In decimal:
\(\boxed{ \ 3\frac{1}{4} = \ ? \ }\)
\(\boxed{ \ = 3\frac{1 \times 25}{4 \times 25} \ }\)
\(\boxed{ \ = 3\frac{25}{100} \ }\)
\(\boxed{\boxed{ \ = 3.25 \ }}\)
\(\boxed{\boxed{ \ Thus, \ the \ result \ is \ \frac{13}{4} \ or \ 3\frac{1}{4} \ or \ 3.25 \ }}\)
- - - - - - - - - -
Quick Steps:
Simplify \(\boxed{\frac{2}{6} = \frac{1}{3}}\)
\(\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }\)
\(\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{1}{3} \bigg) \ }\)
\(\boxed{ \ = 3 \times \bigg(\frac{3 \times 3}{4 \times 3} + \frac{1 \times 4}{3 \times 4} \bigg) \ }\)
\(\boxed{ \ = 3 \times \bigg(\frac{9}{12} + \frac{4}{12} \bigg) \ }\)
\(\boxed{ \ = 3 \times \frac{13}{12} \ }\)
\(\boxed{\boxed{ \ = \frac{13}{4} \ }}\)
\(\boxed{\boxed{ \ = 3\frac{1}{4} \ }}\)
\(\boxed{\boxed{ \ = 3.25 \ }}\)
Learn more
- 7 copies of the sum of 8 fifths and 4 https://brainly.com/question/961462
- tex]\frac{2}{3}[/tex] of the product of \(\frac{3}{8}\) and 16 https://brainly.com/question/961462
- 15 times as much as 1 fifth of 12 is https://brainly.com/question/348151
Keywords: 3 times, as much as, the sum of 3/4 and 2/6, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25
