7 times as much as the sum of 1/3 and 4/5
\(7( \frac{1}{3} + \frac{4}{5} )\)
\(=7( \frac{1(5)}{3(5)} + \frac{4(3)}{5(3)} )\)
\(=7( \frac{5}{15} + \frac{12}{15} )\)
\(=7( \frac{17}{15})\)
\(=\frac{7}{1} ( \frac{17}{15})\)
\(=\frac{119}{15}\)
\(= 7\frac{14}{15}\) ≈ 7.93
¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93
The Problem:
The Process:
Here are some early expressions that need attention.
Let us write an expression to match for 7 times as much as the sum of \(\frac{1}{3}\) and \(\frac{4}{5}\)
\(\boxed{\boxed{ \ 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }}\)
Let us calculate the operation in parentheses at first.
\(\boxed{\frac{1}{3} + \frac{4}{5}}\)
A least common multiple of 3 and 5 is 15. We use to equate the denominator.
\(\boxed{\frac{1 \times 5}{3 \times 5} + \frac{4 \times 3}{5 \times 3}}\)
\(\boxed{\frac{5}{15} + \frac{12}{15}}\)
\(\boxed{\frac{17}{15}}\)
And now we solve the full expression.
\(\boxed{ \ = 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }\)
\(\boxed{ \ = 7 \times \frac{17}{15} \ }\)
We do not cross out 7 and 15 because they both cannot be divided.
\(\boxed{ \ = \frac{119}{15} \ }\)
\(\boxed{\boxed{ \ = \frac{119}{15} \ }}\)
In mixed fraction:
\(\boxed{ \ \frac{119}{15} = \ ? \ }\)
\(\boxed{ \ = \frac{105}{15} + \frac{14}{15} \ }\)
\(\boxed{ \ = 7 + \frac{14}{15} \ }\)
\(\boxed{\boxed{ \ = 7\frac{14}{15} \ }}\)
In decimal:
\(\boxed{ \ 7\frac{14}{15} = \ ? \ }\)
\(\boxed{ \ \frac{14}{15} = 0.93 \ }\)
\(\boxed{ \ = 7 + \frac{14}{15} \ }\)
\(\boxed{ \ = 7 + 0.93 \ }\)
\(\boxed{\boxed{ \ = 7.93 \ }}\)
\(\boxed{\boxed{ \ Thus, \ the \ result \ is \ \frac{119}{15} \ or \ 7\frac{14}{15} \ or \ 7.93 \ }}\)
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Quick Steps:
\(\boxed{ \ = 3 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }\)
\(\boxed{ \ = 3 \times \bigg(\frac{5 + 12}{15} \bigg) \ }\)
\(\boxed{ \ = 3 \times \bigg(\frac{17}{15} \bigg) \ }\)
\(\boxed{\boxed{ \ = \frac{119}{15} \ }}\)
\(\boxed{\boxed{ \ = 7\frac{14}{15} \ }}\)
\(\boxed{\boxed{ \ = 7.93 \ }}\)
Keywords: 7 times, as much as, the sum of 1/3 and 4/5, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25
