Add or subtract as indicated. Write answers in lowest terms as needed. 7512−4567\frac{5}{12} - 4\frac{5}{6}

Ch. R - Review of Basic Concepts

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Lial 13th Edition

Ch. R - Review of Basic Concepts

문제 76

1장, 문제 76

Add or subtract as indicated. Write answers in lowest terms as needed. $7 \frac{5}{12} - 4 \frac{5}{6}$

검증된 단계별 안내

First, rewrite the expression clearly: $7 \left( \frac{5}{12} \right) - 4 \left( \frac{5}{6} \right)$.

Multiply the whole numbers by the fractions separately: calculate $7 \times \frac{5}{12}$ and $4 \times \frac{5}{6}$.

Express each product as a single fraction: $\frac{7 \times 5}{12}$ and $\frac{4 \times 5}{6}$, which simplifies to $\frac{35}{12}$ and $\frac{20}{6}$ respectively.

Find a common denominator to subtract the fractions $\frac{35}{12} - \frac{20}{6}$. Since 12 is a multiple of 6, convert $\frac{20}{6}$ to an equivalent fraction with denominator 12.

Subtract the numerators over the common denominator and simplify the resulting fraction to its lowest terms.

비슷한 문제에 대한 검증된 영상 답변:

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주요 개념

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Multiplication of Whole Numbers and Fractions

Multiplying a whole number by a fraction involves multiplying the whole number by the numerator of the fraction while keeping the denominator the same. For example, 7 × (5/12) means 7 times 5 divided by 12, which can be calculated as (7 × 5)/12.

Subtraction of Fractions

To subtract fractions, they must have a common denominator. If denominators differ, find the least common denominator (LCD), convert each fraction, then subtract the numerators while keeping the denominator constant.

Simplifying Fractions to Lowest Terms

After performing operations, fractions should be simplified by dividing numerator and denominator by their greatest common divisor (GCD). This reduces the fraction to its simplest form, making the answer clearer and more standard.

Add or subtract as indicated. Write answers in lowest terms as needed. 7512−4567\(\frac{5}{12}\) - 4\(\frac{5}{6}\)