Solve Multiplication with Fractions: 10 × 7/9

Question

10×79= 10\times\frac{7}{9}=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's move the multiplier to the numerator
00:08 Let's calculate the multiplication
00:11 Now let's convert to a mixed fraction
00:14 Let's break down 70 into 63 and 7
00:21 Let's break down the fraction into a whole number and remainder
00:27 Let's convert from improper fraction to whole number, and combine into a mixed fraction
00:35 And this is the solution to the question

Step-by-Step Solution

To solve the problem 10×79 10 \times \frac{7}{9} , we follow these steps:

  • Step 1: Multiply the whole number by the numerator. Calculate 10×7=70 10 \times 7 = 70 .
  • Step 2: Divide this product by the denominator. Calculate 709 \frac{70}{9} .
  • Step 3: If the result is an improper fraction, convert it to a mixed number. Divide 70 by 9, which goes 7 times with a remainder of 7. This can be expressed as the mixed number 779 7\frac{7}{9} .

Let's work through each step:
Step 1: Multiply 10 by 7 to get 70.
Step 2: Divide 70 by 9 to get 7 remainder 7.
Step 3: The proper whole number from the division is 7, with the remainder over the original fraction denominator giving us the final fraction 79 \frac{7}{9} .

Thus, the product 10×79 10 \times \frac{7}{9} is 779 7\frac{7}{9} .

Answer

779 7\frac{7}{9}