Grates Quiz fractions Graded Quiz: Fractions A family spends $$ 1 / 10 $$ of its annual income for housing $$ 1 / 4 $$ for food and dothing $$ 1 / 5 $$ for general expenses, and $$ 2 / 15 $$ for entertainment What fractional part of their income is spent on these items altogether?

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The total fractional part of their income spent on these items is $$ \frac{41}{60} $$. To find the total fractional part of the family's income spent on housing, food and clothing, general expenses, and entertainment, we need to add the fractions together: 1. Housing: $$ \frac{1}{10} $$ 2. Food and clothing: $$ \frac{1}{4} $$ 3. General expenses: $$ \frac{1}{5} $$ 4. Entertainment: $$ \frac{2}{15} $$ First, we need to find a common denominator for these fractions. The denominators are 10, 4, 5, and 15. The least common multiple (LCM) of these numbers is 60. Now, we will convert each fraction to have a denominator of 60: 1. $$ \frac{1}{10} = \frac{1 \times 6}{10 \times 6} = \frac{6}{60} $$ 2. $$ \frac{1}{4} = \frac{1 \times 15}{4 \times 15} = \frac{15}{60} $$ 3. $$ \frac{1}{5} = \frac{1 \times 12}{5 \times 12} = \frac{12}{60} $$ 4. $$ \frac{2}{15} = \frac{2 \times 4}{15 \times 4} = \frac{8}{60} $$ Now we can add these fractions together: $$ \frac{6}{60} + \frac{15}{60} + \frac{12}{60} + \frac{8}{60} = \frac{6 + 15 + 12 + 8}{60} = \frac{41}{60} $$ Thus, the fractional part of their income spent on these items altogether is $$ \frac{41}{60} $$.

Grates Quiz fractions Graded Quiz: Fractions A family spends \( 1 / 10 \) of its annual income for housing \( 1 / 4 \) for food and dothing \( 1 / 5 \) for general expenses, and \( 2 / 15 \) for entertainment What fractional part of their income is spent on these items altogether?

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Grates Quiz fractions Graded Quiz: Fractions A family spends \( 1 / 10 \) of its annual income for housing \( 1 / 4 \) for food and dothing \( 1 / 5 \) for general expenses, and \( 2 / 15 \) for entertainment What fractional part of their income is spent on these items altogether?

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