**17-year-old Helena Muffly wrote exactly 100 years ago today: **

**Tuesday, September 24****, 1912: **** **It is raining now. I guess or was. Had an exam in Geometry. Took up Arithmetic today. Didn’t have to but I chose to do so.

**Her middle-aged granddaughter’s comments 100 years later:**

High school courses apparently were only a month of so long a hundred years ago.

I wonder why Grandma decided to take Arithmetic if it wasn’t required. Maybe she enjoyed doing mental math.

Here are two mental math tricks for adding fractions that I found in a hundred year old textbook:

**Example 1: Add two fractions whose numerators are 1**.

**Solution:** Add the denominators, and place the sum over the product of the denominators.

**Example 2: Add two fractions whose numerators are alike and greater than 1.**

**Solution:** Add the denominators and multiply the sum by the numerator of either of the fractions, and write the product over the product of the denominators.

Source: *Kimball’s Commercial Arithmetic* (1911)

If you like math, you might also enjoy these previous posts:

An Old Mental Math Trick

Odd, Unusual, and Strange Math Problems

More Odd, Unusual, and Strange Math Problems

Cube Root Word Problems

1911 Algebra Problems: The Lusitania and Molasses

Old Math Problems

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Filed under: Other Tagged: | 100 years ago, arithmetic problems, family history, math problems

trkingmomoe, on September 24, 2012 at 1:33 am said:Your ready for algebra.

cassmob, on September 24, 2012 at 4:12 am said:That’s an interesting approach Sheryl. I’d have approached it quite differently….

Sheryl, on September 24, 2012 at 10:14 pm said:I’m always surprised by how many ways there are to approach many math problems.

kristin, on September 24, 2012 at 10:10 pm said:I have to admit I couldn’t even read the whole thing. I am sharing it with my husband who does tutoring in math and I think he was working with fractions recently.

Sheryl, on September 24, 2012 at 10:13 pm said:Even when using the tricks recommended in the book, the math seems difficult. I don’t know how people were able to do so much in their heads back then .

kristin, on September 24, 2012 at 10:17 pm said:I don’t even know if I would think it quite difficult, my mind just wanders when I see a whole lot of numbers. I did well in math. mostly, except for algebra 3. My youngest son never understood why he was supposed to put his work down. He could do it in his head and just didn’t see any reason to write it out.

How Were Courses Scheduled A Hundred Years Ago? « A Hundred Years Ago, on October 22, 2012 at 12:03 am said:[...] started on August 26, 1912. On September 24, 1912, Grandma [...]