Question

7 1/4-3 7/15 9 5/12-6 2/7

Answer 1

Ответ:

1)3 47/60 2)3 11/84

Пошаговое объяснение:

Answer 2

To subtract mixed numbers, you can follow these steps:

Step 1: Convert the mixed numbers into improper fractions. Step 2: Subtract the fractions. Step 3: If the result is an improper fraction, simplify it and convert it back to a mixed number if desired.

Let's apply these steps to your problem:

1. $7 \frac{1}{4} - 3 \frac{7}{15}$:

Step 1: Convert the mixed numbers into improper fractions: $7 \frac{1}{4} = \frac{4 \cdot 7 + 1}{4} = \frac{29}{4}$ $3 \frac{7}{15} = \frac{15 \cdot 3 + 7}{15} = \frac{52}{15}$

Step 2: Subtract the fractions: $\frac{29}{4} - \frac{52}{15}$

To subtract fractions with different denominators, find a common denominator. In this case, the common denominator is 60 (the least common multiple of 4 and 15).

Step 3: Rewrite the fractions with a common denominator: $\frac{29 \cdot 15}{4 \cdot 15} - \frac{52 \cdot 4}{15 \cdot 4}$ $\frac{435}{60} - \frac{208}{60}$

Step 4: Subtract the fractions: $\frac{435 - 208}{60} = \frac{227}{60}$

Step 5: Simplify the fraction if needed: The fraction $\frac{227}{60}$ cannot be simplified further.

So, $7 \frac{1}{4} - 3 \frac{7}{15} = \frac{227}{60}$

Now, let's move on to the second subtraction:

2. $9 \frac{5}{12} - 6 \frac{2}{7}$:

Step 1: Convert the mixed numbers into improper fractions: $9 \frac{5}{12} = \frac{12 \cdot 9 + 5}{12} = \frac{113}{12}$ $6 \frac{2}{7} = \frac{7 \cdot 6 + 2}{7} = \frac{44}{7}$

Step 2: Subtract the fractions: $\frac{113}{12} - \frac{44}{7}$

To subtract fractions with different denominators, find a common denominator. In this case, the common denominator is 84 (the least common multiple of 12 and 7).

Step 3: Rewrite the fractions with a common denominator: $\frac{113 \cdot 7}{12 \cdot 7} - \frac{44 \cdot 12}{7 \cdot 12}$ $\frac{791}{84} - \frac{528}{84}$

Step 4: Subtract the fractions: $\frac{791 - 528}{84} = \frac{263}{84}$

Step 5: Simplify the fraction if needed: $\frac{263}{84}$ can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1.

So, $9 \frac{5}{12} - 6 \frac{2}{7} = \frac{263}{84}$

Now you have the results for both subtractions:

1. $7 \frac{1}{4} - 3 \frac{7}{15} = \frac{227}{60}$
2. $9 \frac{5}{12} - 6 \frac{2}{7} = \frac{263}{84}$